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Question -

Find the probability of getting 5 exactly twice in 7 throws of a die.



Answer -

Let us assume Xrepresent the number of times of getting 5 in 7 throws of the die

Also, the repeatedtossing of a die are the Bernoulli trials

Thus, probability ofgetting 5 in a single throw, p = 1/6

And, q = 1 – p

= 1 – 1/6

= 5/6

Clearly, we have X hasthe binomial distribution where n = 7 and p = 1/6

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