Question: Two cards are drawn without replacement from a pack of cards, and the random variable X measures the number of hearts drawn and the random

Two cards are drawn without replacement from a pack of cards, and the random variable X measures the number of hearts drawn and the random variable Y measures the number of clubs drawn.
(a) What is the joint probability mass function of X and Y?
(b) What are the marginal probability mass functions of X and Y?
(c) Are the random variables X and Y independent?
(d) What are the expectations and variances of the random variables X and Y?
(e) What is the covariance of X and Y?
(f) What is the correlation between X and Y?
(g) If no hearts are drawn, what is the conditional probability mass function of Y? If one heart is drawn, what is the conditional probability mass function of Y?

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