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A die is tossed thrice. Find the probability of getting an odd number at least once. |
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Answer» When a dice is tossed thrice, the sample space, is S = {(x,y,z):x,y z e (1,2,3,4,5,6}} which contains 6 x 6 x 6 = 216 Equally likely sample points. Let E: “an odd number at least once” E1: not an odd number any time E1: "An even number on all throws” E1 = {(x, y, z): x,y, ze{2,4,6}j e1 contains 3 x 3 x 3 = 27 equally likely simple events. Required probability = P(E) = 1 - P(E). = 1 = 27/216 = 1 - 1/8 = 7/8 |
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