Problem preview
S-MD.7 Warmup M2-073-A05-V01

Analyze decisions and strategies with probability concepts in applied settings.

Find the overall probability that a strategy succeeds

Problem

Both independent shots must succeed, so multiply the two \(0.70\) success probabilities.

Big Picture

What this problem is really about

The strategy’s success event requires both independent stages, not merely one of them. We’ll define the joint event, verify that the first result does not change the second-stage rate, apply the multiplication rule along the success path, and convert the resulting probability between decimal and percent forms.

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.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
S-MD.7
Category
Statistics and Probability
Domain
Using Probability to Make Decisions
Objective
Analyze decisions and strategies with probability concepts in applied settings.
Problem type
Find the overall probability that a strategy succeeds