What are the Chances of That?

getting 10 heads in a sequence of 10 flips of a coin

The chances of successes are:

For 100 coins, over 100 sequences, each with probability 1 in 1024, on average there will be 9.8 successes.

Over 100 sequences, on average there will be 0.1 successes for each of the coins.

Probability

0.000977

As a percentage

0.0977%

Representative example

For successes

100 coins x 100 sequences = 10000 chances for successes

Observed successes: 12 = 0.120% (expected average: 9.8 = 0.098%)

For coins (columns)

Summary for coins: {'min': 0, 'max': 1, 'mean': 0.12, 'median': 0}

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

[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]

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

88 with 0 successes; 12 with 1 successes;

For sequences (rows)

Summary for sequences: {'min': 0, 'max': 1, 'mean': 0.12, 'median': 0}

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

[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]

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

88 with 0 successes; 12 with 1 successes;