Question

A problem is given to 3 students. Their chances of solving it individually are $\frac{1}{3}, \frac{1}{4}$ and $\frac{1}{5}$ . The probability that the problem will be solved is

• A. $\frac{2}{5}$
• B. $\frac{3}{5}$
• C. $\frac{4}{5}$
• D. $\frac{1}{5}$

Answer 1

Answer: (B)

$\frac{3}{5}$

Answer 2

$P\left(A\cup B\cup C\right) =1-P\left(\bar{A}\right).P\left(\bar{B}\right).P\left(\bar{C}\right)$