4. A bridge player is randomly dealt a hand of 13 cards. What is the probability...

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4. A bridge player is randomly dealt a hand of 13 cards. What is the probability that the hand contains all four cards of at least one of the ranks? (In other words, we are looking for the probability that they have all four aces, or all four twos, or all four threes, etc.) Hint: Define events E1, E2,..., E13, and use the inclusion-exclusion principle. 4. A bridge player is randomly dealt a hand of 13 cards. What is the probability that the hand contains all four cards of at least one of the ranks? (In other words, we are looking for the probability that they have all four aces, or all four twos, or all four threes, etc.) Hint: Define events E1, E2,..., E13, and use the inclusion-exclusion principle.

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