Suppose a red six-sided die, a blue six-sided die, and a yellow six-sided die are rolled....

Suppose a red six-sided die, a blue six-sided die, and a yellow six-sided die are rolled. Let

- X1 be the random variable which is 1 if the numbers rolled on the blue die and the yellow die are the same and 0 otherwise;

- X2 be the random variable which is 1 if the numbers rolled on the red die and the yellow die are the same and 0 otherwise;

- X3 be the random variable which is 1 if the numbers rolled on the red die and the blue die are the same and 0 otherwise;

Show that these three variables are pairwise independent but not independent.

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orchestra answered 1 year ago

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