Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

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:

Options:

$\frac{13}{30}$

$\frac{3}{20}$

$\frac{2}{5}$

$\frac{2}{15}$

Correct Answer:

$\frac{2}{15}$

Explanation:

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