{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a31865db",
   "metadata": {},
   "source": [
    "# Is a Lottery Ticket Ever Worth Buying?\n",
    "\n",
    "In 2003 Gerald Selbee, who had run a corner store in Evart, Michigan, picked up a brochure for a new state lottery game called Winfall and did the arithmetic. \"I just multiplied it out,\" he told the journalist Jason Fagone, \"and then I said, 'Hell, you got a positive return here.'\"\n",
    "\n",
    "He was right, and it was not a quirk of one game. In September 2004 Massachusetts launched its own version, Cash WinFall, and over the next seven years, on 44 separate draws, a \\$2 ticket was worth more than \\$2. The state's Inspector General put it plainly in 2012: \"for every \\$1 wagered, there was \\$1.15 (or usually more) sitting in the Cash WinFall prize pool to be shared among that drawing's ticket holders. In that sense, every ticket was worth more than it cost.\" Betting clubs noticed. Four of them, among them the Selbees' family group and a club started by MIT students, wagered more than \\$40 million, and the state welcomed them, because the lottery kept its cut of every dollar they spent.\n",
    "\n",
    "This notebook, written in R, computes the game's odds, what a ticket was worth on an ordinary draw, the one-line formula that made it worth more than its price on a \"roll-down\" draw, and the number of tickets at which that edge disappears. It checks the formula against the Inspector General's own worked examples, and simulates a club buying 300,000 tickets to show why the clubs bought so many."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1440efab",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:34.661817Z",
     "iopub.status.busy": "2026-10-08T08:41:34.660864Z",
     "iopub.status.idle": "2026-10-08T08:41:34.921587Z",
     "shell.execute_reply": "2026-10-08T08:41:34.920834Z"
    }
   },
   "outputs": [],
   "source": [
    "#| echo: false\n",
    "suppressMessages(library(ggplot2))\n",
    "TEAL <- \"#2a9d8f\"; ORANGE <- \"#f4a261\"; GREY <- \"#8a94a6\"; BG <- \"#18191d\"\n",
    "options(repr.plot.width = 11, repr.plot.height = 5.2, repr.plot.res = 160)\n",
    "theme_set(theme_minimal(base_size = 15) + theme(\n",
    "  plot.background = element_rect(fill = BG, colour = NA),\n",
    "  panel.background = element_rect(fill = BG, colour = NA),\n",
    "  panel.grid = element_line(colour = \"#2c2e35\"), panel.grid.minor = element_blank(),\n",
    "  text = element_text(colour = \"#e6e6e6\"), axis.text = element_text(colour = \"#b8bcc6\"),\n",
    "  legend.position = \"top\", legend.text = element_text(size = 13)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5ac233c",
   "metadata": {},
   "source": [
    "## The Odds\n",
    "\n",
    "Each \\$2 play picked 6 numbers from 46, and the lottery drew 6. The chance of matching exactly $k$ of them is hypergeometric:\n",
    "\n",
    "$$P(k) = \\frac{\\binom{6}{k}\\binom{40}{6-k}}{\\binom{46}{6}}, \\qquad \\binom{46}{6} = 9{,}366{,}819$$\n",
    "\n",
    "R has this distribution built in as `dhyper`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "23959d14",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:34.936174Z",
     "iopub.status.busy": "2026-10-08T08:41:34.923523Z",
     "iopub.status.idle": "2026-10-08T08:41:34.943503Z",
     "shell.execute_reply": "2026-10-08T08:41:34.942927Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " match     one_in\n",
      "     6 9366819.00\n",
      "     5   39028.41\n",
      "     4     800.58\n",
      "     3      47.40\n",
      "     2       6.83\n"
     ]
    }
   ],
   "source": [
    "#| label: The Odds\n",
    "p <- dhyper(0:6, m = 6, n = 40, k = 6)   # chance of matching exactly k of 6\n",
    "names(p) <- 0:6\n",
    "odds <- data.frame(match = 6:2, one_in = round(1 / p[as.character(6:2)], 2))\n",
    "print(odds, row.names = FALSE)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca4e4ffa",
   "metadata": {},
   "source": [
    "These are the lottery's own published odds, to the second decimal: one in 9,366,819 for all six numbers, one in 39,028.41 for five, one in 800.58 for four, one in 47.40 for three and one in 6.83 for two.\n",
    "\n",
    "## An Ordinary Draw\n",
    "\n",
    "On an ordinary draw the smaller prizes were fixed: \\$4,000 for five numbers, \\$150 for four, \\$5 for three, and a free \\$2 bet for two. Six numbers won the jackpot, which started at \\$500,000 and grew from draw to draw while nobody won it. About 60% of the money wagered went into prizes, and whatever the fixed prizes did not use went into the jackpot. A ticket's expected value is\n",
    "\n",
    "$$\\mathbb{E}[\\text{ticket}] = \\sum_{k=3}^{5} P(k)\\,a_k \\;+\\; 2\\,P(2) \\;+\\; P(6)\\,J$$\n",
    "\n",
    "with $a_k$ the fixed prizes and $J$ the jackpot. The free bet is counted at its face value of \\$2, as the Inspector General counts it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "14e51c3e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:34.945161Z",
     "iopub.status.busy": "2026-10-08T08:41:34.944729Z",
     "iopub.status.idle": "2026-10-08T08:41:34.955682Z",
     "shell.execute_reply": "2026-10-08T08:41:34.955062Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixed prizes and the free bet: $0.688 of each $2\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "jackpot $0.5 million: a $2 ticket is worth $0.741\n",
      "jackpot $1.0 million: a $2 ticket is worth $0.795\n",
      "jackpot $1.9 million: a $2 ticket is worth $0.891\n"
     ]
    }
   ],
   "source": [
    "#| label: An Ordinary Draw\n",
    "fixed <- c(`5` = 4000, `4` = 150, `3` = 5)  # cash prizes for 5, 4, 3 numbers\n",
    "free <- 2                                   # two numbers: a free $2 bet\n",
    "c0 <- sum(p[names(fixed)] * fixed) + free * p[[\"2\"]]\n",
    "cat(sprintf(\"fixed prizes and the free bet: $%.3f of each $2\\n\", c0))\n",
    "for (J in c(0.5e6, 1e6, 1.9e6))\n",
    "  cat(sprintf(\"jackpot $%.1f million: a $2 ticket is worth $%.3f\\n\",\n",
    "              J / 1e6, c0 + p[[\"6\"]] * J))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a037006e",
   "metadata": {},
   "source": [
    "On an ordinary draw a \\$2 ticket was worth between 74 and 89 cents. The rest of the prize money did not vanish: it sat in the jackpot, which, Selbee told the Inspector General, rose about \\$75,000 from one draw to the next, and it went to whoever held tickets on the draw where it was finally paid out.\n",
    "\n",
    "## The Roll-Down\n",
    "\n",
    "Cash WinFall's special rule decided where that was. Once the jackpot reached \\$2 million, if nobody matched all six numbers, the whole jackpot \"rolled down\" to the smaller prizes: about 26% to the five-number winners, 47% to the four-number winners and 27% to the three-number winners, each share split equally among that tier's winners. A winner in tier $k$ was paid $a_k + s_k J / W_k$, and with $N$ tickets sold there are about $W_k = N\\,P(k)$ winners in that tier. The shares cancel from the average ticket:\n",
    "\n",
    "$$\\begin{gathered} \\mathbb{E}[\\text{ticket}] = \\sum_{k=3}^{5} P(k)\\Big(a_k + \\frac{s_k J}{N\\,P(k)}\\Big) + 2\\,P(2) \\\\[4pt] = c_0 + \\frac{J}{N} \\end{gathered}$$\n",
    "\n",
    "where $c_0$ is the 69 cents of fixed prizes and free bet above, and $s_3 + s_4 + s_5 = 1$. A ticket was worth more than \\$2 whenever $N < J/(2 - c_0)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c3cec557",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:34.957907Z",
     "iopub.status.busy": "2026-10-08T08:41:34.957347Z",
     "iopub.status.idle": "2026-10-08T08:41:34.966233Z",
     "shell.execute_reply": "2026-10-08T08:41:34.965679Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.47 million tickets, $2.1 million rolled down: $5.16\n",
      "1.30 million tickets, $2.1 million rolled down: $2.30\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the edge ends at 1.60 million tickets\n"
     ]
    }
   ],
   "source": [
    "#| label: The Roll-Down\n",
    "ev <- function(N, J) c0 + J / N        # a $2 ticket on a roll-down draw\n",
    "breakeven <- function(J) J / (2 - c0)  # tickets sold at which the edge ends\n",
    "for (N in c(470e3, 1.3e6))\n",
    "  cat(sprintf(\"%.2f million tickets, $2.1 million rolled down: $%.2f\\n\",\n",
    "              N / 1e6, ev(N, 2.1e6)))\n",
    "cat(sprintf(\"the edge ends at %.2f million tickets\\n\", breakeven(2.1e6) / 1e6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "993c7881",
   "metadata": {},
   "source": [
    "Early in 2005 a roll-down could draw as few as 470,000 tickets, and a \\$2 ticket was then worth about \\$5. By 2007 the clubs had arrived, and the lottery sold between 1.2 and 1.4 million tickets for nearly every roll-down; at 1.3 million a ticket was worth \\$2.30, the Inspector General's \"\\$1.15 for every \\$1\". Sales would have had to pass about 1.6 million tickets for the edge to disappear (Figure 1)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7e43428f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:34.967830Z",
     "iopub.status.busy": "2026-10-08T08:41:34.967389Z",
     "iopub.status.idle": "2026-10-08T08:41:35.320078Z",
     "shell.execute_reply": "2026-10-08T08:41:35.319464Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABuAAAANACAIAAABVDjyGAAAACXBIWXMAABibAAAYmwFJdYOU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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 416,
       "width": 880
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#| echo: false\n",
    "#| fig-cap: The value of a 2-dollar ticket on a roll-down draw, c₀ + J/N, against the number of tickets sold, for 2.0 million and 2.4 million dollars rolled down. Above the dashed line the ticket is worth more than it costs. The grey band is the 1.2 to 1.4 million tickets sold on nearly every roll-down from 2007; the dots mark February 2005 (470,000 tickets) and the forced roll-down of August 2010 (about 800,000).\n",
    "grid <- expand.grid(N = seq(3e5, 2.6e6, length.out = 400), J = c(2.0e6, 2.4e6))\n",
    "grid$ev <- ev(grid$N, grid$J)\n",
    "grid$jack <- factor(sprintf(\"$%.1f million rolled down\", grid$J / 1e6))\n",
    "marks <- data.frame(N = c(470e3, 0.8e6), J = c(2.0e6, 2.128979e6),\n",
    "                    label = c(\"Feb 2005\", \"Aug 2010\"))\n",
    "marks$ev <- ev(marks$N, marks$J)\n",
    "ggplot(grid, aes(N / 1e6, ev)) +\n",
    "  annotate(\"rect\", xmin = 1.2, xmax = 1.4, ymin = -Inf, ymax = Inf, fill = GREY, alpha = 0.18) +\n",
    "  geom_hline(yintercept = 2, colour = \"white\", linetype = \"dashed\", linewidth = 0.7) +\n",
    "  geom_line(aes(colour = jack), linewidth = 1.3) +\n",
    "  geom_point(data = marks, colour = \"white\", size = 3) +\n",
    "  geom_text(data = marks, aes(label = label), colour = \"white\", nudge_x = 0.13, nudge_y = 0.25, size = 5) +\n",
    "  scale_colour_manual(values = c(TEAL, ORANGE), name = NULL) +\n",
    "  scale_y_continuous(labels = function(y) paste0(\"$\", y), breaks = 0:7) +\n",
    "  coord_cartesian(ylim = c(0, 7.2)) +\n",
    "  labs(x = \"tickets sold on the roll-down draw (millions)\", y = \"value of a $2 ticket\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af9248f1",
   "metadata": {},
   "source": [
    "## Checking the Formula Against the Record\n",
    "\n",
    "The Inspector General's report works two real draws through in dollars. For 8 February 2010 it follows a bettor holding 200,000 tickets, at that draw's prizes of \\$22,096 for five numbers, \\$807.52 for four and \\$26.85 for three. On 16 August 2010 the MIT group bought about 700,000 tickets; the prizes were \\$30,282 and \\$37, and the four-number prize works out to \\$1,156 from the group's 868 winning tickets, cashed for \\$1,003,408."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b6e166c3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:35.322541Z",
     "iopub.status.busy": "2026-10-08T08:41:35.322068Z",
     "iopub.status.idle": "2026-10-08T08:41:35.333320Z",
     "shell.execute_reply": "2026-10-08T08:41:35.332777Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "200,000 tickets: winners 5 / 250 / 4,219; cash $428,247 for $400,000\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "700,000 tickets: winners 18 / 874 / 14,767; cash $2,100,271 for $1,400,000\n"
     ]
    }
   ],
   "source": [
    "#| label: The Inspector General's Numbers\n",
    "comma <- function(x)                     # 1234567.8 -> \"1,234,568\"\n",
    "  trimws(format(round(x), big.mark = \",\", scientific = FALSE))\n",
    "check <- function(n, prize) {            # n tickets at one draw's real prizes\n",
    "  win <- n * p[names(prize)]             # expected winners in each tier\n",
    "  cat(sprintf(\"%s tickets: winners %s; cash $%s for $%s\\n\", comma(n),\n",
    "              paste(comma(win), collapse = \" / \"),\n",
    "              comma(sum(win * prize)), comma(2 * n)))\n",
    "}\n",
    "check(200000, c(`5` = 22096, `4` = 807.52, `3` = 26.85))  # 8 Feb 2010\n",
    "check(700000, c(`5` = 30282, `4` = 1156, `3` = 37))       # 16 Aug 2010"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8008268",
   "metadata": {},
   "source": [
    "The expected winners are the report's own: 5, 250 and 4,219 on the February draw. On the August draw the MIT group claimed 18 of the five-number prizes and 868 of the four-number prizes, against 18 and 874 expected. The report's February cash, \\$425,640, multiplies the rounded counts. For August it records \"a \\$700,000 cash profit\"; the formula returns \\$2,100,271 for \\$1,400,000, a profit of \\$700,271, before the group's free bets for the next draw.\n",
    "\n",
    "## Why 300,000 Tickets\n",
    "\n",
    "The edge belongs to the average ticket, and almost every single ticket still lost. A club needed enough tickets for the rare five-number prize, worth about \\$20,000 once 1.3 million tickets were sold, to come in near its expected count. The Inspector General reports that Selbee considered 312,000 tickets \"a statistical sweet spot for the game\", and the MIT group built up to 300,000 tickets for each roll-down. The cell below simulates such a club 20,000 times on a roll-down with \\$2.1 million to share and 1.3 million tickets sold, with `rmultinom` drawing how many of its tickets match each number of balls."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cb5e5c0b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:35.334892Z",
     "iopub.status.busy": "2026-10-08T08:41:35.334452Z",
     "iopub.status.idle": "2026-10-08T08:41:35.459351Z",
     "shell.execute_reply": "2026-10-08T08:41:35.458670Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "prizes: $20,392 / $758 / $26 \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "profit on $600,000: mean $90,907, a loss 5.0% of the time\n"
     ]
    }
   ],
   "source": [
    "#| label: A Club of 300,000 Tickets\n",
    "set.seed(2010)\n",
    "N <- 1.3e6; J <- 2.1e6                      # tickets sold, money rolled down\n",
    "share <- c(`5` = 0.26, `4` = 0.47, `3` = 0.27)  # the jackpot's split by tier\n",
    "prize <- fixed + share * J / (N * p[names(fixed)])  # one winner's prize\n",
    "club <- function(n) {                       # a roll-down: nobody matched 6\n",
    "  w <- rmultinom(1, n, p[as.character(0:5)])[, 1]\n",
    "  sum(w[names(prize)] * prize) + free * w[[\"2\"]] - 2 * n\n",
    "}\n",
    "profit <- replicate(20000, club(3e5))\n",
    "cat(\"prizes:\", paste0(\"$\", comma(prize), collapse = \" / \"), \"\\n\")\n",
    "cat(sprintf(\"profit on $600,000: mean $%s, a loss %.1f%% of the time\\n\",\n",
    "            comma(mean(profit)), 100 * mean(profit < 0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7758ddc6",
   "metadata": {},
   "source": [
    "The simulated prizes, about \\$20,400, \\$760 and \\$26, are the ones the Inspector General describes from 2007 on: \"a match-five paid between \\$19,000 and \\$28,000, a match-four paid around \\$900 and a match-three paid about \\$27.\" A club of 300,000 tickets made about 15% on a roll-down and lost money on about one roll-down in twenty (Figure 2). Selbee's group, by Fagone's tally, lost money in only three of its 55 draws.\n",
    "\n",
    "The real risk was the jackpot itself. If anyone matched all six numbers, nothing rolled down, and every other ticket was left with the fixed prizes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5ac06de9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:35.461308Z",
     "iopub.status.busy": "2026-10-08T08:41:35.460800Z",
     "iopub.status.idle": "2026-10-08T08:41:35.469605Z",
     "shell.execute_reply": "2026-10-08T08:41:35.468779Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chance the jackpot is won and nothing rolls down: 13.0%\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the club's cash then: $118,599, plus 43,906 free bets, for $600,000\n"
     ]
    }
   ],
   "source": [
    "#| label: The Jackpot Risk\n",
    "hit <- 1 - (1 - p[[\"6\"]])^N       # some ticket among N matches all six\n",
    "cash <- 3e5 * (c0 - free * p[[\"2\"]])  # the club's fixed cash prizes\n",
    "cat(sprintf(\"chance the jackpot is won and nothing rolls down: %.1f%%\\n\",\n",
    "            100 * hit))\n",
    "cat(sprintf(\"the club's cash then: $%s, plus %s free bets, for $600,000\\n\",\n",
    "            comma(cash), comma(3e5 * p[[\"2\"]])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9082860e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-08T08:41:35.471426Z",
     "iopub.status.busy": "2026-10-08T08:41:35.470915Z",
     "iopub.status.idle": "2026-10-08T08:41:35.619453Z",
     "shell.execute_reply": "2026-10-08T08:41:35.618774Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in grid.Call(C_textBounds, as.graphicsAnnot(x$label), x$x, x$y, :\n",
      "“conversion failure on '−$100k' in 'mbcsToSbcs': dot substituted for <e2>”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in grid.Call(C_textBounds, as.graphicsAnnot(x$label), x$x, x$y, :\n",
      "“conversion failure on '−$100k' in 'mbcsToSbcs': dot substituted for <88>”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in grid.Call(C_textBounds, as.graphicsAnnot(x$label), x$x, x$y, :\n",
      "“conversion failure on '−$100k' in 'mbcsToSbcs': dot substituted for <92>”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in grid.Call.graphics(C_text, as.graphicsAnnot(x$label), x$x, x$y, :\n",
      "“conversion failure on '−$100k' in 'mbcsToSbcs': dot substituted for <e2>”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in grid.Call.graphics(C_text, as.graphicsAnnot(x$label), x$x, x$y, :\n",
      "“conversion failure on '−$100k' in 'mbcsToSbcs': dot substituted for <88>”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in grid.Call.graphics(C_text, as.graphicsAnnot(x$label), x$x, x$y, :\n",
      "“conversion failure on '−$100k' in 'mbcsToSbcs': dot substituted for <92>”\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABuAAAANACAIAAABVDjyGAAAACXBIWXMAABibAAAYmwFJdYOU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\nRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 416,
       "width": 880
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#| echo: false\n",
    "#| fig-cap: The profit of a club holding 300,000 tickets on a roll-down draw with 2.1 million dollars to share and 1.3 million tickets sold, in 20,000 simulated draws (grey). The dashed orange line is its mean; the white line is zero. If the jackpot is won instead, the club is left with about 206,000 dollars in cash and free bets, a loss of about 394,000 dollars.\n",
    "ggplot(data.frame(profit = profit / 1e3), aes(profit)) +\n",
    "  geom_histogram(bins = 70, fill = GREY, colour = NA, alpha = 0.9) +\n",
    "  geom_vline(xintercept = 0, colour = \"white\", linewidth = 0.8) +\n",
    "  geom_vline(xintercept = mean(profit) / 1e3, colour = ORANGE, linetype = \"dashed\", linewidth = 1.1) +\n",
    "  scale_x_continuous(labels = function(x)\n",
    "    ifelse(x < 0, paste0(\"\\u2212$\", -x, \"k\"), ifelse(x == 0, \"$0\", paste0(\"$\", x, \"k\")))) +\n",
    "  labs(x = \"the club's profit on one roll-down draw (thousands of dollars)\", y = \"simulated draws\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c41c9960",
   "metadata": {},
   "source": [
    "At 1.3 million tickets the jackpot was won on about one roll-down in eight, and a club then lost about two-thirds of its stake, which is how the Inspector General describes it: \"losing about two-thirds of his wager\". In the game's history a jackpot at the roll-down level was won once, on 10 July 2008, and on that night, the report says, \"Mr. Harvey, Mr. Selbee and Dr. Zhang all lost hundreds of thousands of dollars because the roll-down never materialized.\"\n",
    "\n",
    "## Who Paid for It\n",
    "\n",
    "The clubs' profit was not the lottery's loss. The lottery kept about 40 cents of every dollar on every draw, roll-downs included, and the clubs made the roll-down draws its best nights. The Inspector General found that high-volume betting \"was allowed and encouraged because it provided a financial benefit to the state\", and that it \"did not adversely affect other players' odds of having a winning ticket.\"\n",
    "\n",
    "The money came from the ordinary draws. Every ticket bought while the jackpot was building returned 74 to 89 cents of its \\$2 and left the rest in the jackpot, and the roll-down paid that money out to whoever held tickets on the right night. The Inspector General's summary: \"Anyone who put these two facts together would see an obvious way to make money: sit on the sidelines while other players build the jackpot up close to \\$2 million, and then jump in.\"\n",
    "\n",
    "The Boston Globe's Spotlight team reported on the clubs on 31 July 2011, the state capped how many tickets a store could sell, and the game ended in January 2012. Over its life Cash WinFall sold about \\$300 million of tickets, nearly \\$120 million of which went to the lottery's operations and to cities and towns.\n",
    "\n",
    "So is a lottery ticket ever worth buying? A lottery keeps part of every dollar, so a ticket can be worth more than its price only when money that other people paid in is paid out to fewer tickets than paid it in. Cash WinFall's roll-down did exactly that, and the jackpot estimates the lottery posted showed when a roll-down was coming. The test was one line: $c_0 + J/N > 2$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b63911e1",
   "metadata": {},
   "source": [
    "## Sources\n",
    "\n",
    "1. Office of the Inspector General of the Commonwealth of Massachusetts (G. W. Sullivan), letter to Treasurer Steven Grossman on the Cash WinFall game, 27 July 2012. Archived: [web.archive.org](https://web.archive.org/web/20120802151843/http://www.mass.gov/ig/publications/reports-and-recommendations/2012/lottery-cash-winfall-letter-july-2012.pdf).\n",
    "2. Massachusetts State Lottery, Cash WinFall rules, prizes and odds, 2004–2012. Archived: [the rules, March 2006](https://web.archive.org/web/20060325112532/http://www.masslottery.com/games/cashwinfall_rules.html) and [the game page, May 2010](https://web.archive.org/web/20100503075654/http://www.masslottery.com:80/games/lottery/cash-winfall.html).\n",
    "3. A. Estes and S. Allen, The Boston Globe, 31 July 2011: [the Spotlight report on the betting clubs](https://www.bostonglobe.com/metro/2011/07/30/lottery-game-with-windfall-for-knowing-few/cEWIVs5c0JLnkapxIiMG6J/story.html).\n",
    "4. J. Fagone, \"Jerry and Marge Go Large\", HuffPost Highline, 2018: [highline.huffingtonpost.com](https://highline.huffingtonpost.com/articles/en/lotto-winners/).\n",
    "\n",
    "*Every number in this notebook is computed by its own cells from the game's published rules and the figures quoted above; nothing is loaded from outside.*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.3.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}