Cards are chosen randomly from a pack of cards with replacement. Calculate the probability that: (a) The

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Cards are chosen randomly from a pack of cards with replacement. Calculate the probability that:
(a) The first heart is obtained on the third drawing.
(b) The fourth heart is obtained on the tenth drawing. What is the expected number of cards drawn before the fourth heart is obtained? If the first two cards drawn are spades, what is the probability that the first heart is obtained on the fifth drawing?
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