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# What is the probability that rolling two identical dice together will

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
What is the probability that rolling two identical dice together will  [#permalink]

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28 Jan 2018, 23:32
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:51) correct 15% (01:23) wrong based on 80 sessions

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What is the probability that rolling two identical dice together will result in the sum of the dice adding to 7?

A. 1/36
B. 1/6
C. 1/3
D. 5/6
E. 35/36

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Re: What is the probability that rolling two identical dice together will  [#permalink]

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28 Jan 2018, 23:44
B.

sample set = 36.

1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6

no of sum of 7 from first row=1
no of sum of 7 from second row=1
no of sum of 7 from third row=1
no of sum of 7 from fourth row=1
no of sum of 7 from fifth row=1
no of sum of 7 from sixth row=1

Total=6

Probability = 6/36 = 1/6
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What is the probability that rolling two identical dice together will  [#permalink]

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16 Apr 2018, 23:26
Total no. of outcomes 6*6=36.
Possible outcomes are (6,1),(1,6),(5,2),(2,5),(4,3),(3,4)= 6
Hence, Probability=6/36=1/6
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Re: What is the probability that rolling two identical dice together will  [#permalink]

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19 Apr 2018, 18:00
Bunuel wrote:
What is the probability that rolling two identical dice together will result in the sum of the dice adding to 7?

A. 1/36
B. 1/6
C. 1/3
D. 5/6
E. 35/36

With 2 six-sided dice, there are 6 x 6 = 36 total outcomes from a roll of both dice.

Of those 36 outcomes, the ones that sum to 7 are:

1,6 and 6,1

2,5 and 5,2

3,4 and 4,3

Thus, the probability is 6/36 = 1/6.

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Re: What is the probability that rolling two identical dice together will   [#permalink] 19 Apr 2018, 18:00
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