winning on red playing US roulette

The chances of wins are:

For 100 players, over 38 spins, each with probability 18 in 38, on average there will be 1800.0 wins.

Over 38 spins, on average there will be 18 wins for each of the players.

Probability

  • 0.473684
  • As a percentage

  • 47.3684%
  • As a rounded-off proportion

  • 9 in 19
  • As approximate fair betting odds

  • 10 : 9
  • Representative example

    For wins

  • 100 players x 38 spins = 3800 chances for wins
  • Observed wins: 1792 = 47.158% (expected average: 1800.0 = 47.368%)
  • For players (columns)
  • Summary for players: {'min': 9, 'max': 25, 'mean': 17.92, 'median': 18}
  • Counts: How many wins for each of the players? [Click to show]
  • [18, 13, 22, 18, 21, 22, 16, 23, 18, 23, 21, 17, 19, 17, 14, 14, 17, 19, 18, 19, 13, 15, 19, 10, 15, 19, 20, 20, 20, 17, 19, 18, 20, 18, 17, 17, 19, 14, 19, 19, 17, 23, 19, 20, 16, 24, 21, 24, 13, 21, 16, 15, 18, 15, 15, 18, 18, 16, 14, 17, 24, 19, 17, 17, 14, 20, 19, 22, 21, 25, 13, 22, 14, 19, 11, 24, 15, 17, 19, 14, 19, 18, 20, 17, 20, 22, 9, 25, 20, 16, 17, 16, 13, 9, 23, 22, 19, 15, 14, 15]
  • Distribution: How many players for each different number of wins? [Click to show]
  • 2 with 9 wins; 1 with 10 wins; 1 with 11 wins; 5 with 13 wins; 8 with 14 wins; 8 with 15 wins; 6 with 16 wins; 13 with 17 wins; 10 with 18 wins; 16 with 19 wins; 9 with 20 wins; 5 with 21 wins; 6 with 22 wins; 4 with 23 wins; 4 with 24 wins; 2 with 25 wins;
    For spins (rows)
  • Summary for spins: {'min': 37, 'max': 59, 'mean': 47.1578947368421, 'median': 47}
  • Counts: How many wins for each of the spins? [Click to show]
  • [59, 47, 51, 37, 47, 46, 46, 46, 37, 54, 41, 44, 50, 48, 42, 45, 52, 51, 52, 46, 58, 48, 54, 51, 54, 39, 44, 38, 44, 46, 52, 40, 49, 49, 54, 40, 50, 41]
  • Distribution: How many spins for each different number of wins? [Click to show]
  • 2 with 37 wins; 1 with 38 wins; 1 with 39 wins; 2 with 40 wins; 2 with 41 wins; 1 with 42 wins; 3 with 44 wins; 1 with 45 wins; 5 with 46 wins; 2 with 47 wins; 2 with 48 wins; 2 with 49 wins; 2 with 50 wins; 3 with 51 wins; 3 with 52 wins; 4 with 54 wins; 1 with 58 wins; 1 with 59 wins;

    What are the Chances of That? - The Book

    Five reasons that we find it hard to think about uncertainty. To be published by Oxford University Press in 2021.

    Click here to learn more about it.

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