question_answer

Two different dice are tossed together. Find the probability that the product of two numbers on the top of the dice is 6.

Answer:

When two dice are thrown simultaneously, all possible outcomes are:

Total number of all outcomes \[=6\times 6=36\]

Favourable outcomes of getting the product as 6 are:

(2, 3), (3, 2), (1, 6), (6, 1)

Hence, number of favourable outcomes getting product as 6 is 4.

Probability that the product of the two numbers on the top of the die is 6

\[=\frac{4}{36}\]

\[=\frac{1}{9}\]