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If a six-sided die with faces numbered one through six is rolled three

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If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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New post 04 Mar 2019, 00:03
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Question Stats:

86% (00:42) correct 14% (00:56) wrong based on 28 sessions

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If a six-sided die with faces numbered one through six is rolled three times, what is the probability that 5 faces upward for all three rolls?


A. 1/6

B. 1/36

C. 1/96

D. 1/126

E. 1/216

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Re: If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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New post 04 Mar 2019, 00:35

Solution



Given:
    • A six-sided die with faces numbered one through six is rolled three times

To find:
    • The probability that 5 faces upward for all three rolls

Approach and Working:
As six-sided die has all the numbers one through six, the probability of any of the numbers as outcome in one throw is 1/6

    • Therefore, the probability that 5 faces upward for all three rolls = 1/6 * 1/6 * 1/6 = 1/216

Hence, the correct answer is option E.

Answer: E

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Re: If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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New post 04 Mar 2019, 01:05
Bunuel wrote:
If a six-sided die with faces numbered one through six is rolled three times, what is the probability that 5 faces upward for all three rolls?


A. 1/6

B. 1/36

C. 1/96

D. 1/126

E. 1/216


P of getting 5 in a dice in 1 roll = 1/6
so for 3 rolls = (1/6)^3
= 1/216
IMO E
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Re: If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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New post 06 Mar 2019, 20:14
Bunuel wrote:
If a six-sided die with faces numbered one through six is rolled three times, what is the probability that 5 faces upward for all three rolls?


A. 1/6

B. 1/36

C. 1/96

D. 1/126

E. 1/216



The probability of rolling a 5 on each roll is 1/6, so the probability of rolling a 5 on each of 3 rolls is 1/6 x 1/6 x 1/6 = 1/216.

Answer: E
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Re: If a six-sided die with faces numbered one through six is rolled three   [#permalink] 06 Mar 2019, 20:14
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