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Math Help - probability on experiment

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    probability on experiment

    An experiment succeeds twice as often as it fails . What is the probability that in the next 5 trials there will be 4 successes?
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    Quote Originally Posted by mathaddict View Post
    An experiment succeeds twice as often as it fails . What is the probability that in the next 5 trials there will be 4 successes?
    I assume the experiments are independent.

    Let X be the random variable number of successes.

    X ~ Binomial(n = 5, p) where p = 2(1 - p).

    Calculate Pr(X = 4).
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