Apply and interpret the general Multiplication Rule with conditional probability.
Find the probability that two independent events both occur
Problem
Heads and rolling a \(6\) are independent. Multiply \(1/2\) by \(1/6\) to find the probability that both occur.
Big Picture
What this problem is really about
Both specified outcomes from independent devices form an intersection whose probability is the product of their marginals. We’ll record the coin and die probabilities, multiply the fractions, and verify the result by locating the one qualifying pair in the full compound sample space.
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.
