Q.The probability that a student knows the correct answer to a question is $p$ . If he does not know, he guesses (probability of correct guess = $1/4$ ). The probability that his answer is correct is $5/8$ . Then $p$ equals

\dfrac{1}{2}

\dfrac{2}{3}

\dfrac{3}{4}

\dfrac{1}{4}

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Q.The probability that a student knows the correct answer to a question is ppp. If he does not know, he guesses (probability of correct guess = 1/41/41/4). The probability that his answer is correct is 5/85/85/8. Then ppp equals