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A regular die is rolled such that if the number on the die is odd, then a coin is tossed once. If the number on the die is even, the coin is tossed twice. Write the sample space for this experiment. Find P(getting a number 2 and two tails).

Respuesta :

mreijepatmat
DIE SAMPLE SPACE={1,2,3,4,5,5} = 6 possible outcomes
COIN SAMPLE SPACE = {H,T} = 2

P(rolling 2) = 1/6 = 0.1667
P(Tail) = 1/2 = 0.5
P(H AND T) = 1/2 x 1/2 = 1/4 = 0.25
P(Even ∩ T ∩ T) = 0.1667 x 0.5 x 0.5 = 0.04166

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