Home Maths Probability Problem Based on Binomial Distribution / Expectation / Mean The probability of a bomb hitting a bridge i…
Maths Probability Problem Based on Binomial Distribution / Expectation / Mean Single Correct MCQ
Published on: August 14, 2026

The probability of a bomb hitting a bridge is and two direct hits are needed to destroy it. The least number of bombs required so that the probability of the bridge beeing destroyed is greater then 0.9, is

A
8
B
7
C
6
D
9

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Text Solution

Verified by Experts
The correct answer is:
A

Let be the least number of bombs required and the number of bombs that hit the bridge. Then follows a binomial distribution with parameter and

Now

This gives

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