/*! 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

A 5-card hand is dealt from a well-shuffled deck of 52playing cards. What is the probability that the hand contains at least one card from each of the four suits?

If 8 rooks (castles) are randomly placed on a 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.

Five people, designated as A,B,C,D,E, are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that

(a) there is exactly one person between Aand B?

(b) there are exactly two people between Aand B?

(c) there are three people between AandB?

For any sequence of events E1,E2,...,define a new sequenceF1,F2,...of disjoint events (that is, events such that FiFj=脴whenever i鈮�j) such that for alln鈮�1, 鈭�1nFi=鈭�1nEi

If 4 married couples are arranged in a row, find the probability that no husband sits next to his wife
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

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.