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AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 7

Lesson 4: Independent versus dependent events and the multiplication rule

Compound probability of independent events
Independent events example: test taking
General multiplication rule example: independent events
Dependent probability introduction
General multiplication rule example: dependent events
The general multiplication rule
Probability with general multiplication rule
"At least one" probability with coin flipping
Probabilities involving "at least one" success
Probability of "at least one" success

Probability with general multiplication rule

You might need: Calculator

Rosalyn is a teacher who plays a review game with her class. The game involves writing each student's name on an identical slip of paper and selecting students at random. Here's the makeup of her class:

Grade	$10^{th}$ ‍	$11^{th}$ ‍	$12^{th}$ ‍
Number of students	$7$ ‍	$18$ ‍	$5$ ‍

Suppose that Rosalyn wants

2

different students, so she picks

2

names without replacing names between picks.

What is the probability that both students selected are $11^{th}$ ‍ graders?
Round your answer to two decimal places.

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AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 7

Problem