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A multiple choice question has n options...

A multiple choice question has `n` options, of whlch only one is correct. If a student does home work, then it is sure to identify the correct answer, otherwise answer is choosen at random. Let `E` be the event that student does home work with `P(E)=p` and `F` be the event that student answers question correctly
If `n=5,p=0.75` the value of `P(E//F)gelamda`, then `lamda` can be

A

`8/16`

B

`10/16`

C

`12/16`

D

`15/16`

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To solve the problem step by step, we will use the concepts of conditional probability and the law of total probability. ### Step 1: Define the events Let: - \( E \): the event that the student does homework. - \( F \): the event that the student answers the question correctly. ### Step 2: Given probabilities ...
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