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Question

Question: In a single throw of two dice, the probability of getting more than 7 is...

In a single throw of two dice, the probability of getting more than 7 is

A

736\frac { 7 } { 36 }

B

712\frac { 7 } { 12 }

C

512\frac { 5 } { 12 }

D

536\frac { 5 } { 36 }

Answer

512\frac { 5 } { 12 }

Explanation

Solution

Required probability is

P(P ( getting 8)+P(9)+P(10)+P(11)+P(12)8 ) + P ( 9 ) + P ( 10 ) + P ( 11 ) + P ( 12 )

=536+436+336+236+136=1536=512= \frac { 5 } { 36 } + \frac { 4 } { 36 } + \frac { 3 } { 36 } + \frac { 2 } { 36 } + \frac { 1 } { 36 } = \frac { 15 } { 36 } = \frac { 5 } { 12 } .