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C5. A card is chosen randomly from a deck of card (of 52 cards with no joker cards) such that each card is chosen with equal probability. Let A be the event that a Spade is chosen. Let B be the event an Ace is chosen. (a) Construct a probability model for this experiment (Specify the general ingredients and the assumption specific to this problem) (b) Find the probability of event A (c) Find the probability of event B (d) Find the probability of event AUB. Hint: Try to find an easy way using the consequences of the axioms of probability.

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