Two cards are drawn without replacement from a well shuffled deck of cards. Let H1 be the event that a heart is drawn first and H2 be the event that a heart is drawn second. The same tree diagram will be useful for the following four questions. (Note that there are 52 cards in a deck, 13 of which are hearts)
(a) Construct and label a tree diagram that depicts this experiment.
(b) What is the probability that the first card drawn is not a heart?
(c) What is the probability that the second card drawn is a heart given that the first card drawn is a heart?
(d) What is the probability that a heart is drawn second?
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