The probability that the archer will hit the bullseye exactly five out of seven times is 0.004301
How to determine the probability?
The given parameters are:
- Sample size, n = 7
- Number of hits, x = 5
- Probability of hitting, p = 25%
The required probability is then calculated as:
P(x) =nCx * p^x * (1 - p)^(n - x)
Substitute known values
P(5) = ⁷C₅ * (20%)^5 * (1 - 20%)^(7 - 5)
Evaluate the product
P(5) = 0.004301
Hence, the probability that the archer will hit the bullseye exactly five out of seven times is 0.004301
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