This is my question, please explain your attempt at thesolution, I need to learn

Question

This is my question, please explain your attempt at thesolution, I need to learn it, not just don't need theend result. Thanks. Will get lifesaver rating! Acollege student takes 4 courses a semester for 8 semesters. In eachcourse she hasa 0.35 probability of getting an A. Assuming her grades indifferent courses are independent,what is the probability that she will have at least one semesterwith all A’s. I tried using the multiplcation rule, but did somethingtotally wrong. This is my question, please explain your attempt at thesolution, I need to learn it, not just don't need theend result. Thanks. Will get lifesaver rating! Acollege student takes 4 courses a semester for 8 semesters. In eachcourse she hasa 0.35 probability of getting an A. Assuming her grades indifferent courses are independent,what is the probability that she will have at least one semesterwith all A’s. I tried using the multiplcation rule, but did somethingtotally wrong. I tried using the multiplcation rule, but did somethingtotally wrong.

Explanation / Answer

probability of getting an A= 0.35 probability of not getting an A= 1-0.35=0.65 probability of not getting A in a semester = (0.65 x0.65x0.65x0.65)=0.179 probability of not getting A in 8 semester = 0.179 x 0.179 x0.179 x0.179 x0.179 x 0.179 x0.179 x 0.179 =0.000001054 hence, the probability that she will have at least one semesterwith all A’s. = 1-probability of not getting A in 8 semester =1-0.000001054 = 0.999998946

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