The probability of guessing the correct answer to certain text questions is $x 12 .$ If the probability of not guessing the correct answer to this text question is $34,$ If the probability of not guessing the correct answer to this text question is then find the value of $x$ then find the value of .

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answer is C.

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Detailed Solution

It is given that probability of guessing a correct answer is

x 12

and that of guessing an incorrect answer is

34

.
We know, Probability of guessing the correct answer plus the Probability of guessing the incorrect answer is always equal to one.
Hence,

P correct = 1 − P incorrect

Therefore, substituting values,

x 12 = 1 − 34 ⇒ x 12 = 14 ⇒ x = 124 ⇒ x = 3

The value of x is 3.
Hence, option 3 is correct.

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