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Math Expert V
Joined: 02 Sep 2009
Posts: 58434
Two dice are rolled. What is the probability the sum will be greater  [#permalink]

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1 00:00

Difficulty:   25% (medium)

Question Stats: 67% (00:53) correct 33% (01:09) wrong based on 141 sessions

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Two dice are rolled. What is the probability the sum will be greater than 10?

A. 1/9.
B. 1/12.
C. 5/36.
D. 1/6.
E. 1/5.

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Current Student G
Joined: 22 Jun 2016
Posts: 229
Re: Two dice are rolled. What is the probability the sum will be greater  [#permalink]

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1
Combinations possible: (6,6) , (5,6) , (6,5) = 3
Total combinations possible: 6*6=36

Answer = 3/36 = 1/12 Option B.
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Joined: 21 Jun 2014
Posts: 62
Re: Two dice are rolled what is the probability that the sum will be great  [#permalink]

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Possible combinations (5,6) (6,5) (6,6) prob = 3/36 =1/12

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Target Test Prep Representative P
Status: Chief Curriculum and Content Architect
Affiliations: Target Test Prep
Joined: 24 Nov 2014
Posts: 618
GMAT 1: 800 Q51 V51 Two dice are rolled. What is the probability the sum will be greater  [#permalink]

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Total Number of Possibilities First Die: 6

Total Number of Possibilities Second Die: 6

Total Number of Possibilities Two Dice Together: 6 x 6 = 36

Dice have numbers 1 to 6.

Highest Possible Sum Using 1: 1 + 6 = 7

Highest Possible Sum Using 2: 2 + 6 = 8

Highest Possible Sum Using 3: 3 + 6 = 9

Highest Possible Sum Using 4: 4 + 6 = 10

If one of the dice shows 1 to 4, the sum will not be greater than 10.

Also, 5 + 5 = 10.

So, there are only three combinations that add up to sums greater than 10.

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

(Combinations That Add Up to Sums Greater Than 10)/(Total Combinations) = 3/36 = 1/12

The correct answer is (B).
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Joined: 14 Jan 2018
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Location: India
Concentration: General Management, Entrepreneurship
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Re: Two dice are rolled what is the probability that the sum will be great  [#permalink]

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Total Outcomes = 6*6 =36
Fav Outcome= 6,4 6,5 6,6 only 3 cases which give sum greater than 10 so
Prob :3/3 =1/12
Non-Human User Joined: 09 Sep 2013
Posts: 13316
Re: Two dice are rolled. What is the probability the sum will be  [#permalink]

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_________________ Re: Two dice are rolled. What is the probability the sum will be   [#permalink] 28 Jan 2019, 04:41
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