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A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the

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by BTGmoderatorDC » Mon Aug 16, 2021 3:00 am

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C

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A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the number 2 on it will not be facing upward on either roll?

A. 1/6
B. 2/3
C. 25/36
D. 17/18
E. 35/36


OA C

Source: Princeton Review
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Re: A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the

by swerve » Tue Aug 17, 2021 4:09 am
BTGmoderatorDC wrote: ↑
Mon Aug 16, 2021 3:00 am
 A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the number 2 on it will not be facing upward on either roll?

A. 1/6
B. 2/3
C. 25/36
D. 17/18
E. 35/36


OA C

Source: Princeton Review
Probability of not getting a \(2\) on the first roll \(=\dfrac{5}{6}\)
Probability of not getting a \(2\) on the second roll \(=\dfrac{5}{6}\)

Probability of not getting \(2\) in either turn \(= \dfrac{5}{6} \ast \dfrac{5}{6} = \dfrac{25{36}\)

Therefore, C
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