3. The probability that Annie hits the target with a shot is 0.28 . Find the least number of
[3] shots Annie must fire so that the probability of at least one successful 0.99 .

Answer

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Answer

\(\boxed{15}\)

Steps

Step 1 ：Let the number of shots be denoted as \(n\). The probability of no successful shots is \((1 - 0.28)^n\). We want this probability to be less than or equal to \(1 - 0.99\), which is \(0.01\).

Step 2 ：We have the inequality: \((1 - 0.28)^n \leq 0.01\).

Step 3 ：Solve for \(n\) using logarithms.

Step 4 ：\(n \geq \frac{\log{0.01}}{\log{(1 - 0.28)}}\)

Step 5 ：\(n \geq 15\)

Step 6 ：\(\boxed{15}\)

3. The probability that Annie hits the target with a shot is 0.28 . Find the least number of[3] shots Annie must fire so that the probability of at least one successful 0.99 .

Answer

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3. The probability that Annie hits the target with a shot is 0.28 . Find the least number of
[3] shots Annie must fire so that the probability of at least one successful 0.99 .