a) If you randomly guess the answer to each question, what is the probability that you answer all five questions correctly?

b) If you randomly guess the answer to each question, what is the probability that you answer all five questions incorrectly?

Expert Solution

In a multiple choice test there is five questions. In this case the answer is obtained by randomly guessing the multiple choices. Therefore, we know that one option out of all four choices is correct.

Let p be the prabability that the guessed answer is correct. Then

a) If all the answer are randomly guessed then the probability that all the answer is correct is obtained by considering the fact that all the answers are independently answered and hence the probability is obtained by it's independent probability.

b) The probability that each answer is incorrectly answered is obtained by obtaining the probability that the all the answer is independently answer and is incorrect.

orchestra answered 2 years ago

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