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Question

The probability that a bomb dropped from a plane strikes the target is 15. The probability that out of 6 bombs dropped atleast 2 bombs strike the target

A
0.345
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B
0.246
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C
0.543
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D
0.426
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Solution

The correct option is A 0.345
The required probability is
6k=26Ck(p)k(1p)6k where p=15
Upon expanding we get
156[6C244+6C343+6C442+6C541+6C640]
=156[15(256)+20(64)+15(16)+6(4)+1]
=538556
=0.345

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