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20 votes
20 votes
We roll a pair dice 10,000 times. Estimate the probability that the number of times we get snake eyes (two ones) is between 280 and 300.

User Gonfva
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1 Answer

15 votes
15 votes

Answer:

0.3573 = 35.7%

Explanation:

We roll a pair of dice 10,000 times so the mean and standard deviation is,

μ = 10000/36 =277.7 σ =
\sqrt{10000*(35)/(36^(2) ) } =16.4


z_(1) = (280 - 277.7)/16.4 = .14


z_(2) = (300 - 277.7)/16.4 = 1.35

Probablity (range)

0.3573

Z(low)=0.14 0.555766357

Z(upper)=1.36 0.91304644

User Andrei Kovrov
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