(Answered) Suppose a box contains tickets each labeled by an integer

Statistics

Suppose a box contains tickets, each labeled by an integer. Let X, Y, and Z be the results of draws at random with replacement from the box: show that, no matter what the distribution of numbers in the box,

a) P(X + Y is even) > 1/2: b (P(X + Y + Z is a multiple of 3) > 1/4.

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