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Answer :
The probability of hitting the target at least twice out of seven shots with a single-shot hit probability of 0.25 is found using the complement rule and binomial probability.
The student's question asks about the probability of hitting a target at least twice when the probability of hitting the target once is 0.25, and seven shots are taken. To find the probability of hitting the target at least twice, one method is to use the complement rule, which involves calculating the probability of hitting the target 0 or 1 time and subtracting from 1. The probability of hitting the target 0 times (P(X=0)) is (0.75)7 and the probability of hitting the target exactly once (P(X=1)) can be calculated using binomial probability, which is 7*(0.25)*(0.75)6. By calculating these and subtracting from 1, we can get the desired probability.
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