Chapter 1. Introduction to Chapter 12: General Rules of Probability

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Questions 1-4

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Question 1.1

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Correct. There are a total of 9 + 10 + 7 + 8 + 6 = 40 candies, 9 of which are red, so the probability of a red one is 9/40.
Incorrect. There are a total of 9 + 10 + 7 + 8 + 6 = 40 candies, 9 of which are red, so the probability of a red one is 9/40.
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Question 1.2

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Correct. There are a total of 9 + 10 + 7 + 8 + 6 = 40 candies, 9 of which are red and 8 of which are purple, so the probability of a red one is 9/40 + 8/40 = 17/40, because a skittle can only be one color, so red and purple are disjoint events.
Incorrect. There are a total of 9 + 10 + 7 + 8 + 6 = 40 candies, 9 of which are red and 8 of which are purple, so the probability of a red one is 9/40 + 8/40 = 17/40, because a skittle can only be one color, so red and purple are disjoint events.
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Question 1.3

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Correct. There are a total of 9 + 10 + 7 + 8 + 6 = 40 candies, 6 of which are green, so the probability of not getting a green one is 1 - 6/40.
Incorrect. There are a total of 9 + 10 + 7 + 8 + 6 = 40 candies, 6 of which are green, so the probability of not getting a green one is 1 - 6/40.
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Question 1.4

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Correct. With 50 students and 52 majors, there must be at least two with double majors in both biology and chemistry. Being a biology major doesn’t mean you can’t also be a chemistry major, so these events are not disjoint.
Incorrect. With 50 students and 52 majors, there must be at least two with double majors in both biology and chemistry. Being a biology major doesn’t mean you can’t also be a chemistry major, so these events are not disjoint.
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