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Question:

When a die is thrown, list the outcomes of an event of getting (i) (a) a prime number (b) not a prime number. (ii) (a) a number greater than 5 (b) a number not greater than 5

Solution:

(i) (a)Out of 6 possible outcomes, a prime number can be obtained in 3 cases. Probability of prime number = 3/6 = 1/2
(i) (b)Out of 6 possible outcomes, a prime number not obtained in 3 cases. Probability = 3/6 = 1/2
(ii) (a)Out of 6 possible outcomes, greater than 5 can be obtained in 1 case. Probability = 1/6
(ii) (b)Out of 6 possible outcomes, a number not greater than 5 can be obtained in 5 cases. Probability = 5/6