Understand conditional probability and connect independence to unchanged conditional probabilities.
Find a joint probability from a conditional probability and the condition probability
Problem
Use \(P(A\cap{}B)=P(A|B)P(B)\) to find the joint probability from \(0.60\) and \(0.25\).
Big Picture
What this problem is really about
The conditional formula can be rearranged to recover the joint probability. We’ll start with joint over condition, multiply by the conditioning probability, substitute the supplied values, and divide the resulting joint by the condition again to verify the original conditional rate.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
