The probability of guessing the correct answer to certain question is $\frac{p}{12}$ . If the probability of not guessing the correct answer to same question is $\frac{3}{4}$ , then find the value of p.

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answer is A.

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Detailed Solution

Given, the probability of guessing the correct answer to certain question is

\frac{p}{12}

. The probability of not guessing the correct answer to same question is

\frac{3}{4}

.
A probability's complement is 1 minus the provided probability.
So,

1 − P (E) = P (E ¯) 1 − p 12 = 34 12 − p = 12 × 3 4 12 − p = 9 p = 12 − 9 = 3

Therefore, the required value of p is 3.
Hence, the correct option is 1.

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