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

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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03 Mar 2019, 23:03
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Difficulty:

15% (low)

Question Stats:

75% (00:41) correct 25% (00:42) wrong based on 53 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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Joined: 04 Jan 2015
Posts: 3239
Re: If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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03 Mar 2019, 23:35

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.

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

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04 Mar 2019, 00:05
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
Target Test Prep Representative
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Re: If a six-sided die with faces numbered one through six is rolled three  [#permalink]

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06 Mar 2019, 19:14
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.

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Re: If a six-sided die with faces numbered one through six is rolled three   [#permalink] 06 Mar 2019, 19:14
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