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 the task is completed on time by none of them is

$\frac{2}{5}$

P(no one does the task) = $P(\bar{A}) P(\bar{B}) P(\bar{C})$

$=\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}=\frac{2}{5}$

Option: 2