What are the Chances of That?

dealing a royal flush in 5-card poker

The chances of royal flushes are:

For 100 sessions, over 100 hands dealt, each with probability 4 in 2598960, on average there will be 0.0 royal flushes.

Over 100 hands dealt, on average there will be 0.0 royal flushes for each of the sessions.

Probability

0.000002

As a percentage

0.0002%

Representative example

For royal flushes

100 sessions x 100 hands dealt = 10000 chances for royal flushes

Observed royal flushes: 0 = 0.000% (expected average: 0.0 = 0.000%)

For sessions (columns)

Summary for sessions: {'min': 0, 'max': 0, 'mean': 0.0, 'median': 0}

Counts: How many royal flushes for each of the sessions? [Click to show]

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

Distribution: How many sessions for each different number of royal flushes? [Click to show]

100 with 0 royal flushes;

For hands dealt (rows)

Summary for hands dealt: {'min': 0, 'max': 0, 'mean': 0.0, 'median': 0}

Counts: How many royal flushes for each of the hands dealt? [Click to show]

Distribution: How many hands dealt for each different number of royal flushes? [Click to show]

100 with 0 royal flushes;