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Question -

Find the probability of throwing at most 2 sixes in 6 throws of a single die.



Answer -

Let us assume Xrepresent the number of times of getting sixes in 6 throws of a die

Also, the repeatedtossing of die selection are the Bernoulli trials

Thus, probability ofgetting six in a single throw of die,┬аp = 1/6

Clearly, we have X hasthe binomial distribution where n = 6 and┬аp = 1/6

And,┬аq = 1 тАУ p =1 тАУ 1/6 = 5/6

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