Answer :
Final answer:
To find the exact probability of getting more than 15 but at most 30 elevens when rolling a twenty-sided die 100 times, we can use the binomial probability formula and calculate each individual probability.
Explanation:
To find the probability of getting more than 15 elevens but at most 30 elevens when rolling a twenty-sided die 100 times, we need to calculate the probability of getting exactly 16, 17, 18, ..., 30 elevens and add them together. To calculate the probability of getting exactly k elevens, we can use the binomial probability formula:
P(X = k) = (100 choose k) * (1/20)^k * (19/20)^(100-k)
We can then calculate each individual probability and sum them up to get the exact probability.
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