Q11 of 46 Page 1

A pair of dice is thrown once. Find the probability of getting (i) even number on each dice (ii) a total of 9.

When a pair of dice is rolled, total number of cases


S = {(1,1), (1,2),(1,3),(1,4),(1,5),(1,6)


(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)


(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)


(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)


(5,1),(5,2),(5,3),(5,4),(5,5)(5,6)


(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}


So, total number of outcomes, n(S) = 36


(i) Even number on each dice


Possible Outcomes are (2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)


∴ Favourable outcomes = 9


We know that,




(ii) A total of 9


Possible outcomes are (3, 6), (4, 5), (5, 4) and (6, 3).


∴ Favourable outcomes = 4


We know that,




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