/*! 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} Q.3.12 Maria will take two books with h... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q.3.12 (page 110)

Maria will take two books with her on a trip. Suppose that the probability that she will like book 1 is .6, the probability that she will like book 2 is .5, and the probability that she will like both books is .4. Find the conditional probability that she will like book 2 given that she did not like book 1.

Short Answer

Expert verified

The conditional probability is0.25.

Step by step solution

01

Given Information

Let A be the event that Maria likes book land B be the event that Maria likes book 2. role="math" localid="1648005900157" PB鈭�A' is the conditional probability that she will like book 2 given that she did not like book 1.

02

Explanation

P(B|A')

PBA'=P(B)-P(BA)=0.5-0.4=0.1

PB鈭�A'=PBA'/P(A)=0.1/0.4=0.25

03

Final Answer 

0.25is the conditional probability that she will like book 2given that she did not like book role="math" localid="1648006044624" 1.

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

An urn contains 5white and 10black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What is the probability that all of the balls selected are white? What is the conditional probability that the die landed on 3if all the balls selected are white?

Suppose that each child born to a couple is equally likely to be a boy or a girl, independently of the sex distribution of the other children in the family. For a couple having 5children, compute the probabilities of the following events:

(a) All children are of the same sex.

(b) The 3eldest are boys and the others girls.

(c) Exactly 3are boys.

(d) The 2oldest are girls.

(e) There is at least 1girl.

A and B flip coins. A starts and continues flipping

until a tail occurs, at which point B starts flipping and continues

until there is a tail. Then A takes over, and so on.

Let P1 be the probability of the coin landing on heads

when A flips and P2 when B flips. The winner of the game

is the first one to get

(a) 2 heads in a row;

(b) a total of 2 heads;

(c) 3 heads in a row;

(d) a total of 3 heads.

In each case, find the probability that A wins

Two fair dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice land on different numbers?

Twelve percent of all U.S. households are in California. A total of 1.3 percent of all U.S. households earn more than \(250,000 per year, while a total of 3.3 percent of all California households earn more than \)250,000 per year

(a) What proportion of all non-California households earn more than \(250,000 per year?

(b) Given that a randomly chosen U.S. household earns more than \)250,000 per year, what is the probability it is a California household
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

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.