Question

The probability of selecting the correct answer to a certain question is x /3 . If the probability of not selecting the correct answer to the same question is 5/ 9 , then find the value of x .



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Answer 1

Answer:

Step-by-step explanation:

Given : The probability of guessing the correct answer to certain question = x/12

The probability of not guessing the correct answer for the same question = ⅔

The sum of all the probabilities of all possible outcomes of experiment is 1.

P(Event) + P (not an Event) = 1.

P(guessing the correct answer) + P(Not guessing the correct answer) = 1  

x/12 + ⅔ = 1

x/12 = 1 - ⅔  

x/12 = (3 - 2)/3

x/12 = ⅓  

3x = 12

x = 12/3  

x = 4

Hence, the value of x is 4 .

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