Solveeit Logo
Login

Question

Mathematics Question on Probability

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

A

10−110^{-1}

B

(12)5\bigg(\frac{1}{2}\bigg)^5

C

(910)5\bigg(\frac{9}{10}\bigg)^5

D

(910)\bigg(\frac{9}{10}\bigg)

Answer

10−110^{-1}

Explanation

Solution

P=45\frac{4}{5} and q=1-p=1−45=151-\frac{4}{5}=\frac{1}{5}
n=5, r=4
P(X=4)=5C4(45)4(15)^5C_4\bigg(\frac{4}{5}\bigg)^4 \bigg(\frac{1}{5}\bigg)
Therefore, option (A) is correct.