A fair coin has come up "heads" 10 times in a row. The probability that the coin will come up heads on the next flip is:

greater than 50%, it's due to happen.

less than 50%, since tails is happening so much.

AP Stats Unit 6 Review

Quiz

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Mathematics

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11th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSS.CP.B.8, HSS.CP.A.1, HSS.CP.A.2

+12

Standards-aligned

James Dinkel

Used 57+ times

FREE Resource

About this resource

This AP Statistics Unit 6 Review covers probability theory and is designed for advanced 11th and 12th grade students enrolled in Advanced Placement Statistics courses. The quiz comprehensively assesses fundamental probability concepts including basic probability calculations, conditional probability, independent and dependent events, combinations of events using union and intersection operations, and the multiplication and addition rules. Students need a solid foundation in set theory, fraction operations, and logical reasoning to work through scenarios involving single events, compound events, and sampling with and without replacement. The problems require students to distinguish between independent and dependent situations, apply the gambler's fallacy concept, calculate probabilities using two-way tables, and work with geometric and binomial probability distributions. Mastery of these concepts demands understanding of when to multiply versus add probabilities, how replacement affects subsequent draws, and the ability to organize complex information into probability models. Created by James Dinkel, a Mathematics teacher in US who teaches grade 11-12. This comprehensive review quiz serves multiple instructional purposes throughout the probability unit, functioning effectively as guided practice during lessons, homework assignments to reinforce daily concepts, or formative assessment before the AP exam. Teachers can deploy individual questions as warm-up problems to activate prior knowledge or use question clusters to target specific probability concepts like conditional probability or independence. The varied question formats and real-world contexts make this quiz ideal for review sessions where students need exposure to the breadth of probability applications they'll encounter on the AP Statistics exam. This assessment aligns with Common Core standards S-CP.1 through S-CP.7, covering sample spaces, conditional probability, independence, and the rules of probability, while also supporting AP College Board learning objectives for Unit 4 (Probability, Random Variables, and Probability Distributions).

AP Stats Unit 6 Review

32 questions

In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both. What is the probability that a randomly chosen student eats breakfast but does not floss their teeth?

In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both. What is the probability that a randomly chosen student eats breakfast or flosses their teeth?

Five juniors and four seniors have applied for two open student council positions, and administrators have decided to pick two new members randomly. What is the probability that they are both from the same grade?

A fair coin has come up "heads" 10 times in a row. The probability that the coin will come up heads on the next flip is:

According to the National Telecommunication and Information Administration, 50.5% of U.S. households had internet access in 2001. What is the probability that four randomly selected U.S. all had internet access in 2001?

Pepsi is running a sales promotion in which 12% of all bottles have a "FREE" logo under the cap. If you buy a 6-pack of bottles, what is the probability that you will find at least 1 "FREE" logo?

An ice cream stand owner reports that 12% of the cones they sell are "JUMBO" size. You want to see what a "JUMBO" cone looks like so you stand and watch the sales for a while. What is the probability that the first "JUMBO" cone is the fourth cone you see them sell?

A bicycle shop equips 60% of its bikes with a water bottle holder, and 55% of its bikes are equipped with a kick stand. 34% of the bikes have both features. What is the probability that a randomly chosen bike has a kick stand GIVEN THAT it has a water bottle holder?

The probability of a tourist visiting an area cave is .7, and of a tourist visiting a nearby park is .6. The probability of visiting both places on the same day is .4. The probability that a tourist visits at least one of these two places is:

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