Question

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.

Answer 1

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