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A fair coin is tossed ten times in succession. If the first toss produces a head,
then the probability of getting exactly three heads in ten tosses is

I am doing like :-

$\frac{1}{2}*n(9,2)*\frac{1}{2}^2\frac{1}{2}^7$

 I am using bionomial distribution here,Now for initial first head,will probability will be (1/2) or will it be 1?It says first produces head,means first head probability is (1/2) or is it (1)?

After that i will find 2 success if of 9 trials.

Please help,that inital (1/2) term above is correct ir should it be 1?
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Two ways to do this. But they are basically same in this Question.

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Is it 9C2/2^10 ?

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