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Q.

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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a

3

b

4

c

2

d

1

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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The probability of guessing the correct answer to certain question is p12. If the probability of not guessing the correct answer to same question is 34, then find the value of p.