A bag contains 8 red marbles, 7 white marbles, and 6 blue marbles. You draw 3 marbles out at random. without repllacement. Find the following probabilities and round to 4 decimal places. A. the probability that all the marbles are red is =  B. The probability that none of the marbles are red is =

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

A bag contains 8 red marbles, 7 white marbles, and 6 blue marbles. You draw 3 marbles out at random. without repllacement. Find the following probabilities and round to 4 decimal places.

A. the probability that all the marbles are red is = 

B. The probability that none of the marbles are red is =

Expert Solution
Step 1

a) Given that there are 8 red marbles, 7 white marbles, and 6 blue marbles.

So there are total (8+7+6)=21 marbles.

We can draw any 3 marbles from 21 marbles in 21C3=1330 ways

 

We can draw 3 red marbles in 8C3=56 ways

 

So the probability that all the marbles are red is =  561330=0.0421

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON