Question: Looking for hearts again Refer to Example 7.23 (page 353). Suppose we draw one card from the deck, look at it, and then return it

Looking for hearts again Refer to Example 7.23 (page 353). Suppose we draw one card from the deck, look at it, and then return it to the deck before we draw a second card. Defi ne events A 5 fi rst card is a heart and B 5 second card is a heart.

(a) Draw a tree diagram to represent this chance process. Be sure to label all the branches of the tree with the appropriate probabilities.

(b) Find the probability that both cards are hearts. Show your work.

(c) Are events A and B independent? Justify your answer.

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