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

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Re: What is the probability that rolling two identical dice together will [#permalink]
Bunuel
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]
JeffTargetTestPrep - Ain't both dices are identical . So (1,2) and (2,1) would be same and hence total sample space would be 21 instead of 36. Where am i wrong?
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Re: What is the probability that rolling two identical dice together will [#permalink]
Top Contributor
We need to find What is the probability that rolling two identical dice together will result in the sum of the dice adding to 7?

As we are rolling two dice => Number of cases = $$6^2$$ = 36

Lets start listing down the cases where the sum of the two numbers is 7. Following are the possible cases
(1,6)
(2,5)
(3,4)
(4,3)
(5,2)
(6,1)

=> 6 cases

=> Probability that rolling two identical dice together will result in the sum of the dice adding to 7 = $$\frac{6}{36}$$ = $$\frac{1}{6}$$