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Basic Binomial Activity

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Here is a simple one:

If two dice are rolled, the likelihood that the total on the two dice will be 5 is 1/9. Suppose two dice are rolled 50 times.

Find the probability that exactly 6 rolls have a result of 5.
Find the probability that 10 or fewer rolls have a result of 5.
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exactly 6 rolls have a result of 5 = 50C6(1/9)6(8/9)44

10 or fewer rolls have a result of 5 = S0->1050Ck(1/9)k(8/9)50-k , where Sa->b denotes sum over a to b

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