Search any question & find its solution
Question:
Answered & Verified by Expert
In a box containing 100 eggs, 10 eggs are rotten. The probability that out of a sample of 5 eggs none is rotten if the sampling is with replacement is
Options:
Solution:
1157 Upvotes
Verified Answer
The correct answer is:
$\left(\frac{9}{10}\right)^5$
Let $P($ freshegg $)=\frac{90}{100}=\frac{9}{10}=p$
$P($ rottenegg $)=\frac{10}{100}=\frac{1}{10}=q ; \quad n=5, \quad r=5$
So the probability that none egg is rotten
$={ }^5 C_5\left(\frac{9}{10}\right)^5 \cdot\left(\frac{1}{10}\right)^0$ $=\left(\frac{9}{10}\right)^5$
$P($ rottenegg $)=\frac{10}{100}=\frac{1}{10}=q ; \quad n=5, \quad r=5$
So the probability that none egg is rotten
$={ }^5 C_5\left(\frac{9}{10}\right)^5 \cdot\left(\frac{1}{10}\right)^0$ $=\left(\frac{9}{10}\right)^5$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.