winning on a single number playing French roulette

The chances of wins are:

For 100 players, over 100 spins, each with probability 1 in 37, on average there will be 270.3 wins.

Over 100 spins, on average there will be 2.7 wins for each of the players.

Probability

  • 0.027027
  • As a percentage

  • 2.7027%
  • As a rounded-off proportion

  • 2 in 75
  • As approximate fair betting odds

  • 36 : 1
  • Representative example

    For wins

  • 100 players x 100 spins = 10000 chances for wins
  • Observed wins: 290 = 2.900% (expected average: 270.3 = 2.703%)
  • For players (columns)
  • Summary for players: {'min': 0, 'max': 7, 'mean': 2.9, 'median': 3}
  • Counts: How many wins for each of the players? [Click to show]
  • [3, 1, 1, 5, 4, 5, 3, 1, 2, 1, 3, 3, 1, 5, 5, 2, 4, 0, 3, 0, 1, 3, 2, 2, 0, 2, 5, 7, 2, 2, 3, 3, 7, 3, 3, 5, 4, 1, 1, 4, 2, 2, 4, 1, 2, 1, 2, 4, 6, 3, 2, 2, 2, 4, 3, 2, 4, 3, 5, 0, 5, 2, 7, 6, 4, 2, 2, 3, 3, 1, 3, 4, 1, 5, 6, 2, 5, 0, 4, 7, 2, 5, 0, 1, 0, 3, 2, 0, 7, 1, 4, 2, 2, 5, 3, 2, 3, 2, 2, 6]
  • Distribution: How many players for each different number of wins? [Click to show]
  • 8 with 0 wins; 14 with 1 wins; 26 with 2 wins; 19 with 3 wins; 12 with 4 wins; 12 with 5 wins; 4 with 6 wins; 5 with 7 wins;
    For spins (rows)
  • Summary for spins: {'min': 0, 'max': 7, 'mean': 2.9, 'median': 3}
  • Counts: How many wins for each of the spins? [Click to show]
  • [6, 2, 1, 1, 3, 1, 4, 1, 2, 7, 0, 6, 3, 2, 1, 1, 4, 3, 3, 2, 4, 4, 4, 3, 5, 0, 3, 2, 6, 5, 4, 4, 6, 5, 4, 3, 3, 1, 3, 0, 1, 3, 2, 1, 1, 3, 3, 2, 5, 2, 5, 3, 1, 4, 2, 4, 1, 2, 4, 3, 2, 3, 2, 3, 4, 4, 2, 4, 3, 3, 2, 2, 2, 5, 4, 1, 2, 2, 2, 3, 1, 2, 4, 4, 5, 2, 4, 3, 6, 4, 3, 4, 3, 1, 3, 4, 3, 1, 4, 0]
  • Distribution: How many spins for each different number of wins? [Click to show]
  • 4 with 0 wins; 16 with 1 wins; 21 with 2 wins; 24 with 3 wins; 22 with 4 wins; 7 with 5 wins; 5 with 6 wins; 1 with 7 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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