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A missile is destroyed bfore hitting the target by a probability of 1/3. If the missile is nt destroyed probability of hitting the target is 3/4. Three missiles are fired .The probability of exactly 2 hits the target is..?

A missile is destroyed bfore hitting the target by a probability of 1/3. If the missile is nt destroyed probability of hitting the target is 3/4. Three missiles are fired .The probability of exactly 2 hits the target is..?

Grade:11

1 Answers

SAURAV MAJI
15 Points
8 years ago

prob missile not destroyed=2/3

prob hitting target if not dest=3/4

prob hitting target if fired= 2/3*3/4=1/2

Prob not hitting target= 1-1/2=1/2

required prob= (3C2) (1/2)^2 (1/2)^1=3/8

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