In a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winning on the first roll?

Answer-

The probability of winning on the first roll is 0.22

Solution-

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

Now,