AP Statistics Chapter 5
Mathematics
10th Grade - University
CCSS covered
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This quiz focuses on foundational probability theory as taught in Advanced Placement Statistics, covering the essential concepts that bridge high school and introductory college-level probability. The questions assess understanding of basic probability rules, conditional probability, independence, and compound events through both theoretical scenarios and real-world applications. Students need to master the fundamental axioms of probability, including the requirement that probabilities fall between 0 and 1 and sum to 1 across all possible outcomes. They must demonstrate proficiency in calculating probabilities for compound events, applying the multiplication rule for independent events, using complement rules, and interpreting conditional probability situations. The mathematical reasoning required includes working with fractions and decimals, understanding the difference between mutually exclusive and independent events, and applying probability concepts to multi-step problems involving games of chance, survey scenarios, and diagnostic testing situations. This quiz was created by a classroom teacher who designed it for students studying AP Statistics at the high school level. The assessment serves as an excellent tool for evaluating student mastery of Chapter 5 probability concepts before advancing to more complex statistical inference topics. Teachers can deploy this quiz as a unit review to identify knowledge gaps, assign it as homework to reinforce classroom instruction, or use it as a formative assessment to gauge readiness for the AP Statistics examination. The structured multiple-choice format mirrors the AP exam experience while covering the breadth of probability topics students encounter in their first formal statistics course. This quiz aligns with Common Core standards S-CP.1 through S-CP.9, which address conditional probability, independence, and the rules of probability, as well as supporting the Mathematical Practices that emphasize problem-solving and mathematical reasoning within statistical contexts.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
An assignment of probability must obey which of the following?
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Students at University X must be in one of the class ranks—freshman, sophomore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophomores. If a student is selected at random, the probability that her or she is either a junior or a senior is
Tags
CCSS.HSS.CP.B.7
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice.
The probability that you win $4 both times is
Tags
CCSS.HSS.CP.B.9
CCSS.HSS.CP.B.8
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice.
The probability that you win money at least once in the two games is
Tags
CCSS.HSS.CP.A.2
CCSS.HSS.CP.B.7
CCSS.HSS.CP.B.9
CCSS.HSS.CP.A.1
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.
The conditional probability of A given B is
Tags
CCSS.HSS.CP.A.2
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.6
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent one-person crime. Then the probability of observing no positive reading if all suspects plead innocent and are telling the truth is
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket each month for five months, what is the probability that you will win at least one prize?
Tags
CCSS.HSS.CP.B.7
CCSS.HSS.CP.B.9
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