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Question

Question: Two dice are tossed. The probability that the total score is a prime number is...

Two dice are tossed. The probability that the total score is a prime number is

A

16\frac { 1 } { 6 }

B

512\frac { 5 } { 12 }

C

12\frac { 1 } { 2 }

D

None of these

Answer

512\frac { 5 } { 12 }

Explanation

Solution

Prime numbers are

Hence required probability =1+2+4+6+236=1536=512= \frac { 1 + 2 + 4 + 6 + 2 } { 36 } = \frac { 15 } { 36 } = \frac { 5 } { 12 }.