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

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by swerve » Fri Jan 08, 2021 9:56 am

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A six-sided die with faces numbered one through six is rolled three times. What is the probability that the face with the number 6 on it will NOT be facing upward on all three rolls?

A. \(1/116\)
B. \(1/6\)
C. \(2/3\)
D. \(17/18\)
E. \(215/216\)

The OA is E

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

by Scott@TargetTestPrep » Tue Jan 19, 2021 8:14 am
swerve wrote: ↑
Fri Jan 08, 2021 9:56 am
 A six-sided die with faces numbered one through six is rolled three times. What is the probability that the face with the number 6 on it will NOT be facing upward on all three rolls?

A. \(1/116\)
B. \(1/6\)
C. \(2/3\)
D. \(17/18\)
E. \(215/216\)

The OA is E
Solution:

The probability that the number 6 will be facing upward on all three rolls is 1/6 x 1/6 x 1/6 = 1/216. Thus, the probability that the number 6 will not be facing upward on all three rolls is 1 - 1/216 = 215/216.

Answer: E

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