Practicing Success
Read the text carefully and answer the questions : Three persons A, B and C were given a task, whose probabilities of completion their task on time are $\frac{1}{3}, \frac{1}{4}$ and $\frac{1}{5}$ respectively. They were asked to complete the task on time independently. |
The probability that B alone complete the task on time is: |
$\frac{13}{30}$ $\frac{3}{20}$ $\frac{2}{5}$ $\frac{2}{15}$ |
$\frac{2}{15}$ |
P(B completes alone) = $P(B) P(\bar{A}) P(\bar{C})$ = $\frac{1}{4} × \frac{2}{3} × \frac{4}{5} = \frac{2}{15}$ Option: 2 |