If events x and y are independent, then a) p(x|y) = p(x) b) p(y|x) = p(y) c) p(x and y) = p(x) x p(y) d) a, b, and c are all correct

The correct option is D.

Step-by-step explanation:

It is given that events X and Y are two independent events.

Two events are called independent events if the occurrence of one does not affect the probability other. It means

         ..... (1)

Therefore option C is correct.

We know that

Using equation (1),

Therefore option A is correct.

We know that

Using equation (1),

Therefore option C is correct.

Since options A, B and C are correct, therefore we can say that correct option is D.

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step-by-step explanation: