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An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are `0.4, 0.3, 0.2` and `0.1`, respectively, What is the probability that the plane is hit when all the four shots are fired?

A

`0.6976`

B

`0.3024`

C

`0.72`

D

`0.6431`

Text Solution

Verified by Experts

The correct Answer is:
A
Probability that atleast one shot hits the plane
= 1 - P (none of the shot hits the plane)
`=1-0.6xx0.7xx0.8xx0.9 = 1 - 0.3024=0.6976`
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