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Math Help - no. of bombs required to destroy : question

  1. #1
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    no. of bombs required to destroy : question

    please give me a clue for the following question..

    There is 50% chance that any bomb may hit the target. Two direct hits are required to destroy the target completely. How many bombs must be dropped for 99% chance?

    Thanks in advance....
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  2. #2
    MHF Contributor chisigma's Avatar
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    Re: no. of bombs required to destroy : question

    Quote Originally Posted by electroboy View Post
    please give me a clue for the following question..

    There is 50% chance that any bomb may hit the target. Two direct hits are required to destroy the target completely. How many bombs must be dropped for 99% chance?

    Thanks in advance....
    The solution of the problem is the solution of the 'equation'...

    1-\sum_{k=0}^{1} \binom{n}{k}\ p^{k}\ (1-p)^{n-k} = .99 (1)

    ... where p=\frac{1}{2} and n is the 'unknown quantity'...

    Kind regards

    \chi \sigma
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