Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

In a box containing 100 bulbs, 10 are defective. The probability; that out of a sample of 5 bulbs none is defective is :

Options:

$10^{-1}$

$\left(\frac{1}{2}\right)^5$

$\left(\frac{9}{10}\right)^5$

$\frac{9}{10}$

Correct Answer:

$\left(\frac{9}{10}\right)^5$

Explanation:

The correct answer is Option (3) → $\left(\frac{9}{10}\right)^5$

P(Defective) = $\frac{1}{10}$

P(No Defective) = ${^5C}_5(\frac{9}{10})^5(\frac{1}{10})^0$

$=\left(\frac{9}{10}\right)^5$