Q28 of 43 Page 15

A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. Find the probability that the sum of numbers that turn up is (i) 3 (ii) 12.


Here sample space,

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

Number of possible outcomes =12.

(i) Let A be the event of getting the sum 3

A = {(1,2)}

No. of favourable outcome = 1

P(A) = =

(ii) Let B be the event of getting the sum 12.

B = {(6, 6)}

No. of favourable outcome is 1

P(B) = = .

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