Question

Consider two fair dice, each of which has 9 sides only (ignore the physics of how...

Consider two fair dice, each of which has 9 sides only (ignore the physics of how this is feasible).

Die #1 has the following numbers on its sides: 5, 7, 9, 14, 15, 17, 29, 25, 27.

Die#2 has the following numbers on its sides: 1, 2, 4, 6, 11, 13, 22, 28, 33.

Now answer the following questions using decimals to three places (Ex: 0.550)

The joint probability density function of the outcome of rolling die#1 and die#2 in sequence, is given by:

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Answer #1

There can be total of 81 outcomes

{(5,1), (5,2), .........................., (5,33),

(7,1), (7,2), .........................., (7,33),

......................................................

......................................................

(27,1), (27,2),........................., (27,33)}

Each of these 81 outcomes will have probability = 1/81 = 0.012

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