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

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14.Probability

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

A

$\frac{1}{6}$

B

$\frac{5}{{12}}$

C

$\frac{1}{2}$

D

None of these

Solution

(b) Prime numbers are $\{ 2,\,3,\,5,\,7,\,11\} .$

Hence required probability

$ = \frac{{1 + 2 + 4 + 6 + 2}}{{36}} = \frac{{15}}{{36}} = \frac{5}{{12}}.$

Standard 11

Mathematics

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