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