Question

Two different dice are thrown together. Find the probability that (i) the sum of the numbers appeared is less than 7. (ii) the product of the numbers appeared is less than 18. Select the correct answer from above options

Answer 1

Correct Answer - ` (i) 5/12 (ii) 13/18` (i) Number of all possible outcomes is 36. Let E be the event of getting the sum less than 7 on the two dice. Then, the favourable outcomes are (1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1). Number of favourable outcomes = 15. ` :. P(E ) = 15/36 = 5/12`.