What are the Chances of That?

3.1 multiple items; multiple repetitions

The chances of successes are:

For 50 items, over 20 repetitions, each with probability 17%, on average there will be 170 successes.

Over 20 repetitions, on average there will be 3.4 successes for each of the items.

Probability

0.170000

As a percentage

17.0000%

Representative example

For successes

50 items x 20 repetitions = 1000 chances for successes

Observed successes: 166 = 16.600% (expected average: 170 = 17.000%)

For items (columns)

Summary for items: {'min': 0, 'max': 8, 'mean': 3.32, 'median': 3}

Counts: How many successes for each of the items? [Click to show]

[4, 2, 8, 3, 3, 1, 4, 6, 3, 5, 3, 3, 4, 2, 2, 4, 2, 2, 3, 5, 3, 4, 6, 7, 2, 1, 7, 4, 3, 3, 7, 3, 1, 3, 2, 5, 1, 3, 3, 5, 5, 3, 3, 1, 1, 4, 1, 2, 0, 4]

Distribution: How many items for each different number of successes? [Click to show]

1 with 0 successes; 7 with 1 successes; 8 with 2 successes; 15 with 3 successes; 8 with 4 successes; 5 with 5 successes; 2 with 6 successes; 3 with 7 successes; 1 with 8 successes;

For repetitions (rows)

Summary for repetitions: {'min': 5, 'max': 12, 'mean': 8.3, 'median': 8.5}

Counts: How many successes for each of the repetitions? [Click to show]

[7, 5, 9, 8, 9, 6, 8, 10, 10, 10, 12, 12, 9, 5, 9, 5, 7, 6, 7, 12]

Distribution: How many repetitions for each different number of successes? [Click to show]

3 with 5 successes; 2 with 6 successes; 3 with 7 successes; 2 with 8 successes; 4 with 9 successes; 3 with 10 successes; 3 with 12 successes;