Problem preview
S-CP.8 Warmup M2-070-A06-V01

Apply and interpret the general Multiplication Rule with conditional probability.

Find a joint probability by multiplying a marginal probability and a conditional probability

Problem

Follow the \(A-\text{then}-B\) path in the tree and multiply its branch probabilities \(0.40\) and \(0.25\).

Big Picture

What this problem is really about

A probability-tree path represents a sequence of branch conditions, so its probability comes from multiplication along that single path. We’ll trace A first and B after A, read the marginal and conditional labels in order, multiply them, and interpret the product as the joint path probability.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
S-CP.8
Category
Statistics and Probability
Domain
Conditional Probability and the Rules of Probability
Objective
Apply and interpret the general Multiplication Rule with conditional probability.
Problem type
Find a joint probability by multiplying a marginal probability and a conditional probability