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3. You pick 13 cards randomly out of a standard deck of 52. Given that among the 13 cards you picked out, one card is

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3. You pick 13 cards randomly out of a standard deck of 52. Given that among the 13 cards you picked out, one card is the ace of hearts, what is the conditional probability of (a) (4 points) the event that you have at least one ace in hand? (b) (4 points) the event that you have exactly one ace in hand? 4. (8 points) We are given 5 coins. Two of them have heads on both sides, one has tail on both sides and two are regular fair coins. We pick a coin at random and flip it. What is the probability that the top side shows head

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