There are many ways to produce crooked dice. To load a die so that 6 comes up to

Question

There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 (which is opposite 6) comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. Because the spot is solid plastic, this works even with transparent dice. If a die is loaded so that 6 comes up with probability 0.3 and the probabilities of the 2, 3, 4, and 5 faces are not affected, what is the assignment of probabilities to the six faces7 (Round your answers to three decimal places.) P(1) = P(2) = P(3) = P(4) = P(S) = P(6) =

Explanation / Answer

P(6) = 0.3

since probabilty of 2,3,4 5, are not affected

P(2) =1/6

P(3) = 1/6

P(4) = 1/6

P(5) = 1/6

P(1) = 1- (P(2)+P(3)+P(4)+P(5)+P(6) ) = 1- (4*(1/6)+0.3) = 0.033

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