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) `0.4379` (B) `0.6872` (C) `0.6976` (D) `0.3507`

Options

A. 0.6976
B. 0.3024
C. 0.72
D. 0.6431

Answer

A

Explanation

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`