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5.(ii) 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 (ii)
Answers (1)
The coin and die are tossed together.
The coin can have only 1 or 6 as possible outcomes and the die can have {1,2,3,4,5,6} as possible outcomes
Sample space, S = {(x,y): x {1,6} and y
{1,2,3,4,5,6}}
= {(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, n(S) = 12
(ii) Let E be the event having sum of numbers as 12 = {(6, 6)}
n(E) = 1
The required probability of having 12 as sum of numbers is .
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