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

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Math Expert
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Two dice are rolled. What is the probability the sum will be greater  [#permalink]

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New post 12 Jul 2016, 03:17
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

60% (00:55) correct 40% (01:12) wrong based on 106 sessions

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Re: Two dice are rolled. What is the probability the sum will be greater  [#permalink]

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New post 12 Jul 2016, 03:41
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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Two dice are rolled. What is the probability the sum will be greater  [#permalink]

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New post 23 Sep 2018, 07:40
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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Two dice are rolled. What is the probability the sum will be greater &nbs [#permalink] 23 Sep 2018, 07:40
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Two dice are rolled. What is the probability the sum will be greater

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