An urn contains 30 red gumball and 35 blue gumballs. Two are chosen at random, one after the other, without replacement. Be sure to enter your probabilities as a decimal rounded to the nearest tenth. Part I: Draw a tree diagram to calculate the following probabilities and upload the tree diagram here: Choose File No file chosen • the probability that both gumballs are red: • the probability that the first gumball is red and the second is not: % • the probability that the first gumball is not red and the second is red: % • the probability that neither gumball is red: % Part II: What is the probability that the second gumball is red? % Part III: What is the probability that at least one of the gumballs is red? %

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
Question

Please please explain all subparts.

An urn contains 30 red gumball and 35 blue gumballs. Two are chosen at random, one after the
other, without replacement. Be sure to enter your probabilities as a decimal rounded to the nearest
tenth.
Part I: Draw a tree diagram to calculate the following probabilities and upload the tree diagram
here: Choose File No file chosen
• the probability that both gumballs are red:
%
• the probability that the first gumball is red and the second is not:
%
• the probability that the first gumball is not red and the second is red:
%
• the probability that neither gumball is red:
%
Part II: What is the probability that the second gumball is red?
%
Part III: What is the probability that at least one of the gumballs is red?
%
Transcribed Image Text:An urn contains 30 red gumball and 35 blue gumballs. Two are chosen at random, one after the other, without replacement. Be sure to enter your probabilities as a decimal rounded to the nearest tenth. Part I: Draw a tree diagram to calculate the following probabilities and upload the tree diagram here: Choose File No file chosen • the probability that both gumballs are red: % • the probability that the first gumball is red and the second is not: % • the probability that the first gumball is not red and the second is red: % • the probability that neither gumball is red: % Part II: What is the probability that the second gumball is red? % Part III: What is the probability that at least one of the gumballs is red? %
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer