A question is given to two students A and B the probabilty of A solving the question are 6 to 9 and against B solving the question are 10 to 12. if both A and B attempt solving the question, find the probability of the question being solved?. HELP

p(a)=6:9
p(b)=10:12

1 Answer
AbhilashGM
Apr 7, 2018

94% or 1718.

Explanation:

The question can be solved in one of three ways: A solves it but B doesn't, B solves it but A doesn't, and both solve it. So, let's break it down.

The probability that A solves it and B doesn't is: 69⋅212=12108.

The probability that B solves it and A doesn't is: 1012⋅39=30108.

The probability that both solve it is: 69⋅1012=60108.

So, the total probability that the question is solved is: 12108+20108+60108=102108.

This can be simplified as 1718 or 94%.

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