AP ICET 2016 Paper

Question : 141 of 200

Marks: +1, -0

If two fair dice are thrown at random, then the probability that the sum of the digits on their faces is a prime number is

$11/36$
$25/36$
$5/12$
$7/12$

Validate

Solution:

Total number of possible outcomes

=6×6=36

Favourable outcomes that the sum is prime i.e 2, 3, 5, 7, 11 :
(1,1), (1,2), (2,1), (2,3), (3,2), (1,4), (4,1), (1,6), (6,1), (2,5), (5,2), (3,4), (4,3), (5,6), (6,5)
∴ Total no. of favourable outcomes = 15
∴ Required probability

15/46

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