The probability that an event occurs a certain number of times or more 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, in t trials where the desired choice occurs m times in each trial, the desired choice is selected s times or more.
| Probability | |
| Percentage | % |
Example: The probability of getting heads at least 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
5C4/2^5 = 5/32 = 0.15625
5C5/2^5 = 1/32 = 0.03125
Therefore, the sum is 0.5.
Thus, the percentage is 50%, 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
5C4/2^5 = 5/32 = 0.15625
5C5/2^5 = 1/32 = 0.03125
Therefore, the sum is 0.5.
Thus, the percentage is 50%, which matches the result.
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