A problem is given to three students X, Y and Z whose chances of solving it are ,  and  respectively. The chance that the problem will be solved, is equal to

Concept:

If A is any event, then P(A) represents the probability of the occurrence of event A.

P(A') = 1 - P(A), where P(A') represents the probability of not occurrence of A.

Calculation:

All students solves the problem independently, so if at least one of them solves the problem then the problem is considered solved.

∴ Probability that the problem is unsolved

= [1 – P(A)][1 – P(B)][1 – P(C)]

∴ The probability that the problem will be solved

= 1 - Probability that the problem is unsolved

= 1 - 

= 

∴ Probability that the problem will be solved is 

The correct answer is Option 3