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 task is completed on time by at least one of them is:

Options:

$\frac{2}{5}$

$\frac{3}{20}$

$\frac{3}{5}$

$\frac{2}{15}$

Correct Answer:

$\frac{3}{5}$

Explanation:

P(task is completed atleast once) = 1 - P(no one completes the task)

$=1-\frac{2}{5}=\frac{3}{5}$

Option: 3