For the experiment of rolling two dice compute the probabili

For the experiment of rolling two dice, compute the probabilities that the product is at least 8.

Solution

In an experiment of rolling two dices,getting at least 8 is

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

That is there are 15 chances of getting at least 8

And total number of chances=36

Therefore required probability is 15/36=5/12