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

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The repeated throws of a die are Bernoulli trials.

Let X denotes the number of sixes in 6 throws of die.

Obviously, X has the binomial distribution with n = 6

 

where, p is probability of getting a six and q is probability of not getting a six

Now, Probability of getting at most 2 sixes in 6 throws

= P(X = 0) + P(X = 1) + P(X = 2)

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