An anti aircraft gun take four shots at an enemy plane moving away from it. probability of hitting p

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14.Probability

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An anti aircraft gun take four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shot are $0.4, 0.3, 0.2$ and $0.1$ respectively. The probability that the gun hit the plane is :-

A

$0.25$

B

$0.21$

C

$0.16$

D

$0.6976$

Solution

Required probability $=1-\{(1-0.4)(1-0.3)(1-0.2)(1-0.1)\}$

$=0.6976$

Standard 11

Mathematics

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