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Question

If these are n independent trials, p and q the probability of success and failure respectively, then probability of exactly r successes


  1. Cn+rnprqn-r

  2. Crnpr-1qr+1

  3. Crnprqn-r

  4. Crnpr+1qr-1

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Solution

The correct option is C

Crnprqn-r


Explanation for the correct option

According to binomial distribution, for n independent trials, p and q the probability of success and failure respectively, then probability of exactly r successes is PX=r=Crnprqn-r

Hence, the correct option is option (C) i.e. Crnprqn-r.


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