Mutually Inclusive Events

Open Ended

How do mutually exclusive events differ from mutually inclusive events, both in terms of their probability formulas and through practical examples?

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A standard deck of 52 playing cards has 12 face cards (Jack, Queen, and King) and 13 spades. If one card is drawn randomly, what is the probability that it is either a face card or a spade?

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A fair 6-sided die is rolled. What is the probability that the result is either an even number or a number greater than 3?

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A class has 30 students: 18 like Mathematics, 15 like Science, and 8 like both. If a student is chosen at random, what is the probability that the student likes either Mathematics or Science?

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In a survey, 200 people were asked about their favorite movie genres. 120 like action movies, 90 like comedies, and 50 like both. What is the probability that a randomly chosen person likes either action or comedy

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A card is drawn from a standard deck of 52 cards. What is the probability of drawing a King or a Heart?