What are the Chances of That?

dealing 4 of a kind in 5-card poker

The chances of four-of-a-kinds are:

For 100 sessions, over 100 hands dealt, each with probability 624 in 2598960, on average there will be 2.4 four-of-a-kinds.

Over 100 hands dealt, on average there will be 0.0 four-of-a-kinds for each of the sessions.

Probability

0.000240

As a percentage

0.0240%

Representative example

For four-of-a-kinds

100 sessions x 100 hands dealt = 10000 chances for four-of-a-kinds

Observed four-of-a-kinds: 0 = 0.000% (expected average: 2.4 = 0.024%)

For sessions (columns)

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

Counts: How many four-of-a-kinds 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 four-of-a-kinds? [Click to show]

100 with 0 four-of-a-kinds;

For hands dealt (rows)

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

Counts: How many four-of-a-kinds for each of the hands dealt? [Click to show]

Distribution: How many hands dealt for each different number of four-of-a-kinds? [Click to show]

100 with 0 four-of-a-kinds;