Find the probability of throwing a sum of 11 at least 8 times in 11 throws of a pair of fair dice.

Question

Find the probability of throwing a sum of 11 at least 8 times in 11 throws  of a pair of fair dice.

goformit100 · Answer

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dumbcow · Answer

binomial distribution
$$P(x=k)=\left(\begin{matrix}n \ k\end{matrix}\right)p^{k} (1-p)^{n-k}$$
n=11
p = 1/18 (probability of rolling an 11)
k = 8,9,10,11
answer is sum of probabilities for each "k" value