The probability of an event occurring a specific number of times in a series of trials
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Calculate the probability of random selection through repeated trials.
Given n possible choices, find the probability that the desired choice is made exactly s times out of t trials, each consisting of m selections.
| Probability | |
| Percentage | % |
Example: The probability of getting heads 3 times when a coin is flipped 5 times
Written out:
Possible outcomes (heads/tails) = 2
Desired outcome (heads) = 1
Expected number of occurrences = 3
Number of trials = 5
5C3/2^5 = 5/16 = 0.3125, so the percentage is 31.25%, which matches the result.
Written out:
Possible outcomes (heads/tails) = 2
Desired outcome (heads) = 1
Expected number of occurrences = 3
Number of trials = 5
5C3/2^5 = 5/16 = 0.3125, so the percentage is 31.25%, which matches the result.
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