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Two fair dice are thrown. Let P be the probability that the product (multiply) of the two die will exceed some number. Which of the following probabilities is not possible for the value of P? Assume that all probabilities are rounded to the nearest ten-thousandth. (HINT: Order the products from largest to smallest for all possible rolls of the die.) 0.2222 0.1667 0.7778 0.5556 0.4167

Respuesta :

mreijepatmat
P(of product of 2 dices) = 1/6 x 1/6 = 1/36
If we have 2 similar product then P(2 similar) = 2/36
If we have 3 similar product then P(3 similar) = 3/36
P(n similar) = n/36
P =0.2222 ====n/36 =0.2222 ≈ n=8 (right)
P =0.1667====n/36 = 0.1667 ≈ n=8 (right)
P = 0.7778====n/36 = 0.7778 ≈n = 28 WRONG ( with 2 dice we cannot get 28, since 28 = 4x7 or 7x4 and the max in one dye is 6)



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