A die is thrown twice. What is the probability that (i) 5 will not come up either time? (ii) 5 will come up at least once? [Hint: Throwing a die twice and throwing two dice simultaneously are treated as the same experiment]

Explanation

outcomes :

(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)

(i) no of outcomes= 25

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