Question: Consider again Problem 2.1.4 where two cards are drawn from a pack of cards. Is the expected number of hearts drawn larger when the second

Consider again Problem 2.1.4 where two cards are drawn from a pack of cards. Is the expected number of hearts drawn larger when the second drawing is made with or without replacement? Does this answer surprise you?
Problem 2.1.4
Two cards are drawn at random from a pack of cards with replacement. Let the random variable .V be the number of cards drawn from the heart suit.
(a) Construct the probability mass function.
(b) Construct the cumulative function.
(c) What is the most likely value of the random variable X?
Repeat parts (a)-(c) when the second drawing is made without replacement.

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