Two different dices are tossed together. Find the probability that the product of the two numbers on the top of the dice is 6.[CBSE 2015]

Question

Philoid · Accepted Answer

When two dice are tossed together possible outcomes are

{(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)}

No of total outcomes: 36

Favorable outcomes i.e. product of two numbers on the top of the dice is 6

{(1, 6) (6, 1) (2, 3) (3, 2)}

No of favorable outcomes: 6

As we know