Probability - Arithmetic Aptitude Questions and Answers

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

$\frac { 1 } { 6 }$

$\frac { 5 } { 12 }$

$\frac { 1 } { 2 }$

$\frac { 7 } { 9}$

Answer : Option B

Explanation :

Clearly, n(S) = (6 x 6) = 36.

Let E = Event that the sum is a prime number.

Then E

= { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3),
(5, 2), (5, 6), (6, 1), (6, 5) }

n(E) = 15.

P(E) = $\frac { n(E) } { n (S)}$ = $\frac { 15 } { 36 }$ = $\frac { 5 } { 12 }$

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