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

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by VJesus12 » Sat Jan 23, 2021 1:52 pm

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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

Answer: B

Source: e-GMAT
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Re: Two dice are rolled. What is the probability the sum will be greater than 10?

by Scott@TargetTestPrep » Mon Feb 08, 2021 11:32 am
VJesus12 wrote: ↑
Sat Jan 23, 2021 1:52 pm
 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

Answer: B

Solution:

The rolls that will allow for a sum greater than 10 are:

(6,5) or (5,6) or (6,6)

Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.

Answer: B

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

by swerve » Tue Feb 09, 2021 3:25 am
VJesus12 wrote: ↑
Sat Jan 23, 2021 1:52 pm
 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

Answer: B

Source: e-GMAT
Total Outcomes \(= 6\cdot 6 =36\)
Fav Outcome \(= 6,4\,6,5\,6,6\) only \(3\) cases which give sum greater than \(10\) so
Prob: \(\dfrac{3}{3} =\dfrac{1}{12}\)

Therefore, B
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