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In two dice game, the player take turns to roll both dice, they can roll as many times as they want in one turn. A player scores the sum of the two dice thrown and gradually reaches a higher score as they continue to roll. If a single number 1 is thrown on either die, the score for that whole turn is lost. Two dice are thrown simultaneously. What is the probability of getting the sum as a prime number ? |
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Answer» `(5)/(12)` `{1(1, 1), (1, 2), (2, 1), (1, 4), (4, 1), (2, 3), (3, 2), (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3), (6, 5), (5, 6)}` Thus number of favourable OUTCOMES, `n(E_(1))=15` P(sum as a prime number), `P(E_(2))=(n(E_(2)))/(n(S))=(15)/(36)=(5)/(12)` Thus (a) is correct option. |
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