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Homework Answers 9) 6/24 + 6/24 = 12/24 or ½ 11) 12/24 + 12/24 = 24/24 or 1 23) P(2 and A) = (1/6 * 1/5) = 1/30 P(2 and B) = (1/6 * 1/5) = 1/30 P(2 and C) = (1/6 * 1/5) = 1/30 P(2 and A, B, or C) = 1/30 + 1/30 + 1/30 = 3/30 or 1/10

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Probability of Inclusive Events Integrated Math 2 – Lesson 58 Mr. Lopez

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Probability of Inclusive Events Inclusive Events: Events where some probabilities can be counted in more than one event. Ex: What is the probability of drawing a king or a red card from a standard deck of cards? This is an example of an inclusive event because there are 4 kings (2 black and 2 red) and there are 26 red cards. However, this doesnt mean that there are 30 choices. It means that there are some results that exist in both and we cant count.

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Probability of Inclusive Events If two events, A and B, are inclusive then the probability that either A or B occurs is the sum of their probabilities decreased by the probability of them both occurring. P(A or B) = P(A) + P(B) – P(A and B)

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Example What is the probability of drawing a king or a red card from a standard deck of cards. P(king) = 4/52 P(red card) = 26/52 P(king and red) = 2/52 Therefore P(king and red card) is 4/52 + 26/52 – 2/52 = 28/52

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Example 2 On a standard die, Draw a tree diagram of rolling 2 dice and list all the possible outcomes. 1. What is the probability of rolling a number greater than 2 or even? 2.What is the probability of rolling a sum that is a multiple of 3 or multiple of 2?

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