SOLUTION: If a die is rolled 30 times, there are 630 different sequences possible. What fraction of these sequences have exactly 9 numbers less than or equal to 2?

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Question 466220: If a die is rolled 30 times, there are 630 different sequences possible. What fraction of these sequences have exactly 9 numbers less than or equal to 2?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
This experiment follows binomial distribution with n = 30, p = 2/6 = 1/3, and q = 4/6 = 2/3. Hence the the probability, or the fraction of these sequences that have exactly 9 numbers less than or equal to 2 is
P%28X+=+9%29+=+30C9%2A%282%2F3%29%5E21%2A%281%2F3%29%5E9+=+0.14573, to 3 decimal places.