Browse Questions
+1 vote

# A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.

This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com

Can you answer this question?

Prob at least one
= 1 - Prob (not A and not B and not C)
= 1 - Prob( not A ) * Prob( not B ) * Prob( not C )
= 1 - ( 1 - Prob( A ) ) * ( 1 - Prob( B ) ) * ( 1 - Prob( C ) )
= 1 - 2/3 * 3/4 * 4/5 = 1 - 2/5 = 3/5

–1 vote