A six- sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 3 times as likely as rolling a one, and rolling and one and five are equally likely. What is the probability that an even number is rolled

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Topic Video
Question
A six- sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 3 times as likely as rolling a one, and rolling and one and five are equally likely. What is the probability that an even number is rolled? Give your answer as a fraction.
Expert Solution
Step 1

Let x be the probability of getting two. Therefore we have

x P(x)
1 2x
2 x
3 3(2x) =6x
4 x
5 2x
6 x
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.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning