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 faces? () P(1) = _______________ P(2) = ___________ P(3) = ______________ P(4) = ______________ P(5) = ___________ P(6) = ________________

Explanation / Answer

Solution:-

P(6) = 0.3

P(number other than 6) = 1 - 0.3 = 0.7

All other number except 6 have same chances of coming :-

P(1) = 0.7/5 = 0.14

P(2) = 0.14

P(3) = 0.14

P(4) = 0.14

P(5) = 0.14

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