/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q3.9 In a bag, there are six red marb... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q3.9 (page 185)

In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3,4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.

鈥� R = a red marble

鈥� G = a green marble

鈥� O = an odd-numbered marble

鈥� The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.

S has ten outcomes. What is P(G AND O)?

Short Answer

Expert verified

Pr (G & O) = 1/5

Step by step solution

01

Probability Concept 

Probability is the likelihood of an event, calculated by = favourable outcomes / total outcomes

02

Numerical Solution 

Pr (G & O) = Probability of getting green marble & odd numbered marble

= Pr (Green & odd numbered marble)

Total outcomes = 10 ; Two favourable outcomes = G1 , G3

Pr (G & O) = 2 / 10 = 1/5

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64stamped, addressed envelopes with $10cash in different classrooms on the George Washington campus. 44%were returned overall. From the economics classes 56%of the envelopes were returned. From the business, psychology, and history classes 31%were returned.

Let:R = money returned;E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street.

鈥�P(I)=0.44andP(F)=0.56

鈥� role="math" localid="1652098516712" P(I鈭�F)=0because Mark will take only one route to work.

What is the probability of P(IORF)?

A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work.The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is taking a gap year?

In a box of assorted cookies, 36%contain chocolate and 12%contain nuts. Of those, 8%contain both chocolate and nuts. Sean is allergic to both chocolate and nuts.

a. Find the probability that a cookie contains chocolate or nuts (he can't eat it).

b. Find the probability that a cookie does not contain chocolate or nuts (he can eat it).

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

Find the probability that an Emotional Health Index Score is between 80.5 and 82?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.