Question: Suppose n is divisible by 6. Let (,P) be the space = {1,...,n} with the uniform probability P, let A be the event consisting

Suppose n is divisible by 6.

Let (Ω,P) be the space Ω = {1,...,n} with the uniform probability P, let A be the event consisting of all even numbers, and let B be the event of all numbers divisible by three.

Prove that A and B are independent.

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