VeritasPrepKarishma wrote:

kotela wrote:

The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

1. 1/4

2. 5/21

3.16/21

4.23/28

5.None

Odds against Ram are 4:3 so probability that he will solve the problem is 3/7.

Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12

It will be solved means that either Ram or Krishna or both will be able to solve it.

P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21

Hi,

What is the chance that it will be solved when they both try?

I thought that the problem is solved only when they both try together as the questions says the same, but can we take even either Ram or Krishna solves the problem?

Thanks in advance

'They both try' means that they both try independently. It doesn't mean that they both are working together on the problem.

The intent of the problem is quite clear: The probability of A succeeding is 'a'; the probability of B succeeding is 'b'. What is the probability that at least one of them succeeds?