Two different dice are tossed together. Find the probability that the product of the number on the top of the dice is 6.
(i) Even numbers occur is (2,2) (2,4) (2,6) (4,2) (4,4)
(4,6) (6,2) (6,4) (6,6)
P (number of each die is even) = 9/36 = 1/4
(ii) Sum of numbers is 5 in (1, 4) (2,3) (3,2) (4,1)
P (sum of numbers appearing on two dice is 5
= 4/36 = 1/9
Product of 6 are (1, 6); (2,3); (6, 1); (3,2)
No. of possible out comes = 4
Total number of chances = 6 x 6 = 36
P (Product of 6 ) = 4/36 = 1/9