SSC CGL 2023 PYQ — Question 23

SSC CGL Tier II - 6 March 2023 - Shift 1 • Quantitative Aptitude • Q23

The probabilities of solving a problem by three students A, B, and C are 3/7, 5/9, and 1/5 respectively. The probability that the problem will be solved is: 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 251/315.

According to the question

The probability that the problem will be solved  = Total - The probability that the problem will not be solved

⇒ 1 - (4/7) × (4/9) × (4/5) 

⇒ 1 - (64/315)

⇒ 251/315