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
p(a)=6:9
p(b)=10:12
1 Answer
Apr 7, 2018
94% or
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:
The probability that B solves it and A doesn't is:
The probability that both solve it is:
So, the total probability that the question is solved is:
This can be simplified as