Question 40

Mathematics Probability Medium

The probability of getting a job for a person is ( x / 3 ) . If the probability of not getting the job is ( 2 / 3 ) , then the value of ( x ) is

(A) 2
(B) 1
(C) 3
(D) 1.5
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

The probability of getting a job for a person is \( \frac{x}{3} \). If the probability of not getting the job is \( \frac{2}{3} \), then the value of (x) is: \[\] The sum of the probability of getting the job and not getting the job must always equal 1: \(\frac{x}{3} + \frac{2}{3} = 1\) \[\] Solving the equation: \( \frac{x + 2}{3} = 1 \) \[\] Multiplying through by 3: \[\] x + 2 = 3 \[\] x = 3 - 2 \[\] x = 1 \[\] \[\] Correct Option: (b)