Question

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is $6$

Answer 1

Finding the probability product of numbers on the top of the dice is $6$:

Number of total outcomes $=36$

When product of the numbers on the top of the dice

The possible outcomes$=(1,6),(2,3),(3,2),(6,1).$

Thus, number of possible ways $=4$

Therefore Probability that the product of the numbers on the top of the dice is $6=\frac{4}{36}=\frac{1}{9}$