Two fair dies are rolled; one coloured blue and the other coloured black. We define the...

Two fair dies are rolled; one coloured blue and the other coloured black. We define the following random variables:

X = The number shown on the blue die

Y = 0 if the number on both dies are the same

Y = 1 if the number on the blue die is greater than the number on the black die

Y = 2 if the number on the black die is greater than the number on the blue die

a. Write the table for the joint probability mass function.

b. Find the marginal probability mass function for Y .

c. Find the conditional probability mass function for X given Y = 1.

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Expert Solution

orchestra answered 1 year ago

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