3. Construct a reasonable model for rolling a fair die twice and recording the results in

order. You don't have to explain the model, just provide the information requested

below. Let X be the event that the first number is odd. Let Y be the event that the

second number is even. Let Z be the event that both numbers have the same parity,

that is, both are even or both are odd.

Are the events X and Z independent? (5 points)

Are the events Xn Y and Z independent? (5 points)