What are the Chances of That?

winning on red playing French roulette

The chances of wins are:

For 100 players, over 38 spins, each with probability 18 in 37, on average there will be 1848.6 wins.

Over 38 spins, on average there will be 18.5 wins for each of the players.

Probability

0.486486

As a percentage

48.6486%

Representative example

For wins

100 players x 38 spins = 3800 chances for wins

Observed wins: 1891 = 49.763% (expected average: 1848.6 = 48.649%)

For players (columns)

Summary for players: {'min': 10, 'max': 26, 'mean': 18.91, 'median': 19}

Counts: How many wins for each of the players? [Click to show]

[19, 22, 15, 21, 18, 22, 24, 19, 21, 19, 18, 18, 19, 24, 26, 19, 24, 19, 17, 23, 18, 18, 22, 23, 18, 17, 23, 18, 18, 23, 18, 18, 16, 19, 13, 19, 21, 18, 21, 17, 17, 25, 18, 17, 20, 22, 20, 17, 21, 19, 20, 15, 19, 19, 19, 19, 24, 20, 15, 17, 19, 18, 22, 15, 21, 17, 18, 20, 20, 21, 18, 14, 17, 22, 21, 16, 21, 14, 22, 23, 16, 18, 21, 17, 21, 18, 10, 18, 16, 17, 24, 23, 18, 17, 14, 20, 13, 14, 13, 16]

Distribution: How many players for each different number of wins? [Click to show]

1 with 10 wins; 3 with 13 wins; 4 with 14 wins; 4 with 15 wins; 5 with 16 wins; 12 with 17 wins; 19 with 18 wins; 14 with 19 wins; 7 with 20 wins; 11 with 21 wins; 7 with 22 wins; 6 with 23 wins; 5 with 24 wins; 1 with 25 wins; 1 with 26 wins;

For spins (rows)

Summary for spins: {'min': 37, 'max': 62, 'mean': 49.76315789473684, 'median': 48.5}

Counts: How many wins for each of the spins? [Click to show]

[53, 48, 42, 44, 51, 51, 51, 46, 43, 47, 56, 53, 53, 54, 56, 44, 45, 62, 48, 60, 59, 47, 49, 37, 45, 47, 43, 53, 54, 56, 53, 48, 46, 47, 47, 51, 55, 47]

Distribution: How many spins for each different number of wins? [Click to show]

1 with 37 wins; 1 with 42 wins; 2 with 43 wins; 2 with 44 wins; 2 with 45 wins; 2 with 46 wins; 6 with 47 wins; 3 with 48 wins; 1 with 49 wins; 4 with 51 wins; 5 with 53 wins; 2 with 54 wins; 1 with 55 wins; 3 with 56 wins; 1 with 59 wins; 1 with 60 wins; 1 with 62 wins;