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  4. The probability that a bulb produced by a factory will fuse after 150 days if used is 0.50. What is the probability that out of 5 such bulbs none will fuse after 150 days of use?

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Q. The probability that a bulb produced by a factory will fuse after $150$ days if used is $0.50$. What is the probability that out of $5$ such bulbs none will fuse after $150$ days of use?

Probability - Part 2

Solution:

Here $p=19 / 20, q=1 / 20, n=5, r=5$. The required probability is
${ }^{5} C_{5}\left(\frac{19}{20}\right)^{5}\left(\frac{1}{20}\right)^{0}=\left(\frac{19}{20}\right)^{5}$