{
 "schema": "lottoflick-game-odds-1",
 "note": "Exact counts of tickets (out of all equally likely tickets) that win each tier, computed from the published tier definitions. They are calculations, not official figures, unless a guide says an operator published the same number.",
 "euromillions": {
  "combinations": "139838160",
  "tiers": [
   {
    "tier": "5+2",
    "ways": "1",
    "total": "139838160",
    "oneIn": 139838160,
    "probability": 7.1511238420185165e-9
   },
   {
    "tier": "5+1",
    "ways": "20",
    "total": "139838160",
    "oneIn": 6991908,
    "probability": 1.4302247684037032e-7
   },
   {
    "tier": "5+0",
    "ways": "45",
    "total": "139838160",
    "oneIn": 3107514.6666666665,
    "probability": 3.218005728908332e-7
   },
   {
    "tier": "4+2",
    "ways": "225",
    "total": "139838160",
    "oneIn": 621502.9333333333,
    "probability": 0.0000016090028644541661
   },
   {
    "tier": "4+1",
    "ways": "4500",
    "total": "139838160",
    "oneIn": 31075.146666666667,
    "probability": 0.00003218005728908332
   },
   {
    "tier": "3+2",
    "ways": "9900",
    "total": "139838160",
    "oneIn": 14125.066666666668,
    "probability": 0.00007079612603598332
   },
   {
    "tier": "4+0",
    "ways": "10125",
    "total": "139838160",
    "oneIn": 13811.176296296297,
    "probability": 0.00007240512890043748
   },
   {
    "tier": "2+2",
    "ways": "141900",
    "total": "139838160",
    "oneIn": 985.4697674418604,
    "probability": 0.0010147444731824274
   },
   {
    "tier": "3+1",
    "ways": "198000",
    "total": "139838160",
    "oneIn": 706.2533333333333,
    "probability": 0.0014159225207196662
   },
   {
    "tier": "3+0",
    "ways": "445500",
    "total": "139838160",
    "oneIn": 313.89037037037036,
    "probability": 0.003185825671619249
   },
   {
    "tier": "1+2",
    "ways": "744975",
    "total": "139838160",
    "oneIn": 187.70852713178294,
    "probability": 0.005327408484207744
   },
   {
    "tier": "2+1",
    "ways": "2838000",
    "total": "139838160",
    "oneIn": 49.27348837209302,
    "probability": 0.02029488946364855
   },
   {
    "tier": "2+0",
    "ways": "6385500",
    "total": "139838160",
    "oneIn": 21.899328165374676,
    "probability": 0.04566350129320924
   }
  ],
  "anyPrize": {
   "tier": "any",
   "ways": "10778691",
   "total": "139838160",
   "oneIn": 12.973575362722617,
   "probability": 0.0770797541958504
  }
 },
 "ukLotto": {
  "combinations": "45057474",
  "tiersPerRound": [
   {
    "tier": "6",
    "ways": "1",
    "total": "45057474",
    "oneIn": 45057474,
    "probability": 2.2193876203535066e-8
   },
   {
    "tier": "5+bonus",
    "ways": "6",
    "total": "45057474",
    "oneIn": 7509579,
    "probability": 1.331632572212104e-7
   },
   {
    "tier": "5",
    "ways": "312",
    "total": "45057474",
    "oneIn": 144414.98076923078,
    "probability": 0.000006924489375502941
   },
   {
    "tier": "4",
    "ways": "20670",
    "total": "45057474",
    "oneIn": 2179.8487663280116,
    "probability": 0.00045874742112706987
   },
   {
    "tier": "3",
    "ways": "468520",
    "total": "45057474",
    "oneIn": 96.1697985144711,
    "probability": 0.010398274878880249
   },
   {
    "tier": "2",
    "ways": "4392375",
    "total": "45057474",
    "oneIn": 10.258111841543585,
    "probability": 0.09748382698950234
   }
  ],
  "anyPrizeInOneRound": {
   "tier": "2 or more",
   "ways": "4881884",
   "total": "45057474",
   "oneIn": 9.229525732278768,
   "probability": 0.1083479291360186
  },
  "anyPrizeInEitherOfTwoRounds": {
   "probability": 0.20495658452397336,
   "oneIn": 4.879082086201685
  }
 },
 "loto6": {
  "combinations": "6096454",
  "tiers": [
   {
    "tier": "1 (6 main)",
    "ways": "1",
    "total": "6096454",
    "oneIn": 6096454,
    "probability": 1.6402977862213017e-7
   },
   {
    "tier": "2 (5 main + bonus)",
    "ways": "6",
    "total": "6096454",
    "oneIn": 1016075.6666666666,
    "probability": 9.84178671732781e-7
   },
   {
    "tier": "3 (5 main)",
    "ways": "216",
    "total": "6096454",
    "oneIn": 28224.324074074073,
    "probability": 0.00003543043218238012
   },
   {
    "tier": "4 (4 main)",
    "ways": "9990",
    "total": "6096454",
    "oneIn": 610.2556556556557,
    "probability": 0.0016386574884350805
   },
   {
    "tier": "5 (3 main)",
    "ways": "155400",
    "total": "6096454",
    "oneIn": 39.23072072072072,
    "probability": 0.025490227597879028
   }
  ],
  "anyPrize": {
   "tier": "any",
   "ways": "165613",
   "total": "6096454",
   "oneIn": 36.81144596136777,
   "probability": 0.027165463726946844
  },
  "impliedReturn": {
   "assumption": "prize amounts 200,000,000 / about 10,000,000 / 300,000 / 6,800 / 1,000 yen as published for the no-carryover case",
   "expectedYenPerTicket": 89.90997061570546,
   "price": 200,
   "share": 0.4495498530785273
  }
 },
 "loto7": {
  "combinations": "10295472",
  "tiers": [
   {
    "tier": "1 (7 main)",
    "ways": "1",
    "total": "10295472",
    "oneIn": 10295472,
    "probability": 9.713007815474609e-8
   },
   {
    "tier": "2 (6 main + 1 or 2 bonus)",
    "ways": "14",
    "total": "10295472",
    "oneIn": 735390.8571428572,
    "probability": 0.000001359821094166445
   },
   {
    "tier": "3 (6 main)",
    "ways": "196",
    "total": "10295472",
    "oneIn": 52527.91836734694,
    "probability": 0.000019037495318330233
   },
   {
    "tier": "4 (5 main)",
    "ways": "9135",
    "total": "10295472",
    "oneIn": 1127.0357963875206,
    "probability": 0.0008872832639436055
   },
   {
    "tier": "5 (4 main)",
    "ways": "142100",
    "total": "10295472",
    "oneIn": 72.4523011963406,
    "probability": 0.01380218410578942
   }
  ],
  "note": "The 6th tier is not computed because its exact condition was not confirmed.",
  "impliedReturn": {
   "assumption": "prize amounts 700,000,000 / about 6,100,000 / 500,000 / 6,500 / 1,400 yen; tier 6 (1,000 yen) assumed to be 3 main numbers plus at least one bonus number, which is not verified",
   "tiers1to5": {
    "expectedYenPerTicket": 110.89511000564131,
    "price": 300,
    "share": 0.369650366685471
   },
   "withAssumedSixthTier": {
    "expectedYenPerTicket": 134.45401046207496,
    "price": 300,
    "share": 0.4481800348735832
   },
   "assumedSixthTierWays": "242550"
  }
 },
 "superenalotto": {
  "combinations": "622614630",
  "tiers": [
   {
    "tier": "6",
    "ways": "1",
    "total": "622614630",
    "oneIn": 622614630,
    "probability": 1.606129942690232e-9
   },
   {
    "tier": "5+jolly",
    "ways": "6",
    "total": "622614630",
    "oneIn": 103769105,
    "probability": 9.636779656141391e-9
   },
   {
    "tier": "5",
    "ways": "498",
    "total": "622614630",
    "oneIn": 1250230.1807228916,
    "probability": 7.998527114597355e-7
   },
   {
    "tier": "4",
    "ways": "52290",
    "total": "622614630",
    "oneIn": 11906.954102122776,
    "probability": 0.00008398453470327223
   },
   {
    "tier": "3",
    "ways": "1905680",
    "total": "622614630",
    "oneIn": 326.7152040216616,
    "probability": 0.0030607697091859214
   },
   {
    "tier": "2",
    "ways": "28942515",
    "total": "622614630",
    "oneIn": 21.51211219895714,
    "probability": 0.04648543995826118
   }
  ]
 },
 "pension720": {
  "groups": 5,
  "tiers": [
   {
    "tier": "1st (group + 6 digits)",
    "probability": 2e-7,
    "oneIn": 5000000,
    "nominalKrw": 1680000000
   },
   {
    "tier": "2nd (last 6 digits, other group)",
    "probability": 8.000000000000001e-7,
    "oneIn": 1250000,
    "nominalKrw": 120000000
   },
   {
    "tier": "bonus (last 6 digits of the bonus draw)",
    "probability": 0.000001,
    "oneIn": 1000000,
    "nominalKrw": 120000000
   },
   {
    "tier": "3rd (last 5 digits)",
    "probability": 0.000009,
    "oneIn": 111111.11111111111,
    "nominalKrw": 1000000
   },
   {
    "tier": "4th (last 4 digits)",
    "probability": 0.00009,
    "oneIn": 11111.111111111111,
    "nominalKrw": 100000
   },
   {
    "tier": "5th (last 3 digits)",
    "probability": 0.0009,
    "oneIn": 1111.111111111111,
    "nominalKrw": 50000
   },
   {
    "tier": "6th (last 2 digits)",
    "probability": 0.009000000000000001,
    "oneIn": 111.1111111111111,
    "nominalKrw": 5000
   },
   {
    "tier": "7th (last digit)",
    "probability": 0.09,
    "oneIn": 11.11111111111111,
    "nominalKrw": 1000
   }
  ],
  "nominalPayoutPerKrw1000": 0.75,
  "impliedRateForSixtyPointThree": 0.041352080433477933,
  "anyPrizeProbability": 0.1,
  "note": "Single-ticket first prize only; sets add a further KRW 4 million a month for 10 years. Nominal payout 75.0% equals the operator's stated 75%; the rate that gives 60.3% is an inference, not an official figure."
 }
}