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I am a little confused, probability question?

A box contains the eleven letters, MISSISSIPPI. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is SIPS?

1 Answer

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  • 9 years ago

    Probability = number of outcomes that will satisfy your requirements divided by number of total possible outcomes. So:

    Ps (probability of S) = 4/11

    Pi = 4/11

    Pp = 2/11

    Ps = 4/11

    To get the probability of those 4 being picked, you multiply the answers together:

    (4/11) x (4/11) x (2/11) x (4/11) = 128/14641

    and that is your answer: 128 out of 14641

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