# Chapter 1. Probability Models

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1:53

### Question 1.1

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Correct. While the results might be classed as odd or even, the real possible outcomes are 1 through 6. It is not possible to have 0 spots show when you toss a die.
Incorrect. While the results might be classed as odd or even, the real possible outcomes are 1 through 6. It is not possible to have 0 spots show when you toss a die.
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### Question 1.2

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Correct. The sample space must include all possible outcomes. It’s possible that a date could cost no money (a free campus event, for example). Also, having relatively small upper ends precludes the possibility of nice dinners out, for example. It’s impossible for a typical date to cost negative money.
Incorrect. The sample space must include all possible outcomes. It’s possible that a date could cost no money (a free campus event, for example). Also, having relatively small upper ends precludes the possibility of nice dinners out, for example. It’s impossible for a typical date to cost negative money.
2
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### Question 1.3

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Correct. The elementary outcomes are all possible combinations of H and T for three tosses. There are eight total possible outcomes in the sample space.
Incorrect. The elementary outcomes are all possible combinations of H and T for three tosses. There are eight total possible outcomes in the sample space.
2
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### Question 1.4

Correct. When tossing three dice, the smallest possible result is 3 (1, 1, 1). Because 2 is not in S, this is not an event.
Incorrect. When tossing three dice, the smallest possible result is 3 (1, 1, 1). Because 2 is not inS, this is not an event.
2
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4:23

### Question 1.5

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Correct. There are four aces in a deck of fifty-two cards. 4/52 = 0.0769, which rounds to 0.077.
Incorrect. There are four aces in a deck of fifty-two cards. 4/52 = 0.0769, which rounds to 0.077.
2
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### Question 1.6

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Correct. The outcomes in the event “sum of the pips is at least 9” are: 3-6, 4-5, 5-4, 6-3, 5-5, 6-4, 4-6, 5-6, 6-5, and 6-6.
Incorrect. The outcomes in the event “sum of the pips is at least 9” are: 3-6, 4-5, 5-4, 6-3, 5-5, 6-4, 4-6, 5-6, 6-5, and 6-6.
2
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