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

Answer: B
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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]
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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 = \(\frac{6}{36}\) = \(\frac{1}{6}\)

So, Answer will be B
Hope it helps!

Watch the following video to learn How to Solve Dice Rolling Probability Problems

GMAT Club Bot
Re: What is the probability that rolling two identical dice together will [#permalink]
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Math Expert
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