Question

Two dice are rolled once simultaneously. Find the probability that the sum of the numbers on
the top of the dice is a perfect square.
​

Answer 1

Answer: 7/36

Explanation:

Possible outcomes =

(1,1) , (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Total number of possible outcomes = 36

Favourable outcomes =

(1,3), (2,2), (3,1), (3,6), (4,5), (5,4), (6,3)

Number of favourable outcomes = 7

P(sum of the numbers is a perfect square)

= No. of favourable outcomes / Total number of possible outcomes

= 7/36

Hope you understood.

Thank You.