Question

Three students try to solve a problem independently with a probability of solving it as 1/3,2/5,5/12 respectively. What is the probability that the problem is solved?

Answer 1

$p(of \: problem \: solved) = p(a) \times p(b) \times p(c) \\ p = \frac{1}{3} \times \frac{2}{5} \times \frac{5}{12} \\ p = \frac{10}{180} \\ p = \frac{1}{18}$

Answer 2

The Probability that the problem is solved is 2/5