/*! 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. 2.6 An urn Acontains 3red and3聽blac... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.6 (page 54)

An urn Acontains 3red and3black balls, whereas the urnBcontains 4red and6black balls. If a ball is randomly selected from each urn, what is the probability that the balls will be the same color?

Short Answer

Expert verified

answer=0.5.

Step by step solution

01

Given Information.

An urn Acontains 3red and3black balls, whereas the urn Bcontains 4red and6black balls and a ball is randomly selected from each urn.

02

Explanation.

There are 2cases:

Case1:

Both the balls are red. The probability that the ball chosen from the urn Ais red is 36and that the ball chosen from the urn Bis red is410. These events are independent. Therefore, the total probability is36*410.

Case 2:

Both the balls are black. The probability that the ball chosen from the urn Ais black is36and that the ball chosen from the urn Bis black is610. These events are independent. Therefore, the total probability is36*610.

The final probability is the sum of the probabilities in cases 1and2. Therefore,

answer=36*410+36*610=3060=0.5.

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

If two dice are rolled, what is the probability that the sum of the upturned faces equalsi? Find it fori=2,3,...,11,12.

Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?

Consider the matching problem, Example5m, and define it to be the number of ways in which theNmen can select their hats so that no man selects his own.

Argue thatAN=(N鈭�1)(AN-1+AN-2). This formula, along with the boundary conditionsA1=0,A2=1, can then be solved forAN, and the desired probability of no matches would be AN/N!.

Hint: After the first man selects a hat that is not his own, there remain N鈭�1men to select among a set of N鈭�1hats that do not contain the hat of one of these men. Thus, there is one extra man and one extra hat. Argue that we can get no matches either with the extra man selecting the extra hat or with the extra man not selecting the extra hat.

鈭�1鈭�EiF=鈭�1鈭�EiFand鈭�1鈭�Ei鈭�F=鈭�1鈭�Ei鈭�F

If a rook (castles) are randomly placed on chessboard, compute the probability that none of the rooks can capture any of the others. That is, compute the probability that no row or file contains more than one rook.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.