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# Two identical six-sided dice are rolled. What is the probability that

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Math Expert
Joined: 02 Sep 2009
Posts: 45217
Two identical six-sided dice are rolled. What is the probability that [#permalink]

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28 Jan 2018, 23:23
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Two identical six-sided dice are rolled. What is the probability that the sum of the dice will be at least 5?

A. 1/36
B. 1/6
C. 1/3
D. 5/6
E. 35/36
[Reveal] Spoiler: OA

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Posts: 9
Re: Two identical six-sided dice are rolled. What is the probability that [#permalink]

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28 Jan 2018, 23:28

1-(6/36)=30/36=5/6

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Re: Two identical six-sided dice are rolled. What is the probability that [#permalink]

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29 Jan 2018, 00:08
Sreesha9758 wrote:

1-(6/36)=30/36=5/6

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Can u be a bit more elaborate? I am getting a different answer
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Re: Two identical six-sided dice are rolled. What is the probability that [#permalink]

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29 Jan 2018, 10:30
Bunuel wrote:
Two identical six-sided dice are rolled. What is the probability that the sum of the dice will be at least 5?

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

Probability of getting sum atlest 3 = 1 - proba of getting 1 and prob of getting 2..
Since two dice rolled so prob of 1 is 0
Prob of sum getting 2 = 1/6*1/6 = 1/36

Prob of getting sum atlst 3 is = 1-1/36
= 35/36

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Re: Two identical six-sided dice are rolled. What is the probability that [#permalink]

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29 Jan 2018, 10:58
Bunuel wrote:
Two identical six-sided dice are rolled. What is the probability that the sum of the dice will be at least 5?

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

When two identical six-sided dice are rolled, in order for the sum to be less than 5,
the various combinations are (1,1),(1,2),(2,2),(2,1),(1,3),(3,1) - 6 combinations

The total possibilities are 6*6 = 36

Probability(Atleast 5) = 1 - P(Sum less than 5) = $$1 - \frac{6}{36} = \frac{30}{36} = \frac{5}{6}$$

Hence, the probability that the sum of the dice will be atleast 5 is $$\frac{5}{6}$$(Option D)

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Re: Two identical six-sided dice are rolled. What is the probability that   [#permalink] 29 Jan 2018, 10:58
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