1.

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

Answer»

Coin has faces marked with 1, 6.

A fair die has faces marked as 1, 2, 3, 4, 5, 6.

∴ total number of equally likely cases = 2 × 6 = 12

(i) Favourable case is (1, 2) i.e., 1 only. ∴ red. probability = 1/12

(ii) Favourable case is (6, 6) i.e. 1 only. ∴ req d. probability = 1/12



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