Question

Two green balls, two red balls, and two yellow balls are placed in two green boxes, two red boxes, and two yellow boxes; one ball in each box. Find the probability that at least one ball is in a box of the same color. use inclusion-exclusion

          Two green balls, two red balls, and two yellow balls are placed in two green boxes, two red boxes, and two yellow boxes; one ball in each box. Find the probability that at least one ball is in a box of the same color. use inclusion-exclusion
        
Show more…

Added by Justin S.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Two green balls, two red balls, and two yellow balls are placed in two green boxes, two red boxes, and two yellow boxes; one ball in each box. Find the probability that at least one ball is in a box of the same color. use inclusion-exclusion
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Danielle Fairburn
Jennifer Stoner verified

Maria Dearborn and 84 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
a-box-contains-three-red-two-white-and-two-green-balls-two-balls-are-drawn-out-of-the-box-in-succession-without-replacement-what-is-the-probability-that-both-balls-are-the-same-color

A box contains three red, two, white and two green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same color?

Maria D.

a-box-contains-2-red-4-white-and-4-green-balls-two-balls-are-drawn-out-of-the-box-in-succession-without-replacement-what-is-the-probability-that-both-balls-are-the-same-color-87203

A box contains 2 red, 4 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same color?

Donna D.

suppose-there-are-four-red-balls-and-three-yellow-balls-in-a-box-two-balls-are-drawn-from-the-box-without-replacement-what-is-the-probability-that-one-ball-of-each-coloring-is-selected-76918

Suppose there are four red balls and three yellow balls in a box. Two balls are drawn from the box without replacement. What is the probability that one ball of each coloring is selected?

Christopher D.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,166 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,221 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,298 solutions

*

Transcript

-
00:01 The problem tells us we have a bag with three red, two white, and two green balls.
00:05 And we are looking for the probability of pulling out without replacement two that are the same color.
00:15 So there are three ways that this could happen.
00:20 You could pull out two reds, two whites, or two greens.
00:27 And then that would satisfy that probability.
00:31 So the way to pull out two reds, we have three chances for a red.
00:38 And then once that one is pulled out, it doesn't get replaced.
00:42 So now there's two chances.
00:44 So the probability of doing this for a red would be six.
00:50 For white, we have two chances.
00:52 We pull that one out, then we have one more chance to pull a white.
00:56 So that would be two...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever