/*! 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.3.48 Each of 2 cabinets identical in ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q.3.48 (page 101)

Each of 2 cabinets identical in appearance has 2 drawers. Cabinet A contains a silver coin in each drawer, and cabinet B contains a silver coin in one of its drawers and a gold coin in the other. A cabinet is randomly selected, one of its drawers is opened, and a silver coin is found. What is the probability that there is a silver coin in the other drawer?

Short Answer

Expert verified

The probability that there is a silver coin in the other drawer is 23.

Step by step solution

01

Given Information

A: Event that a silver coin was found in one of the drawers.

B1: Event that the cabinet is A.

B2: Event that the cabinet is B.

02

Explanation

Here,PB1=PB2= 12

PAB1=1,PAB2=12

PB1A=PB1PAB1PB1PAB1+PB2PAB2

=12脳112脳1+12脳12

=11+0.5=11.5=23

03

Final Answer

23

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

In a class, there are 4 first-year boys, 6 first-year girls, and 6 sophomore boys. How many sophomore girls must be present if sex and class are to be independent when a student is selected at random?

Two cards are randomly chosen without replacement from an ordinary deck of52 cards. Let B be the event that both cards are aces, let Asbe the event that the ace of spades is chosen, and letA be the event that at least one ace is chosen. Find

(a)role="math" localid="1647789007426" P(B|As)

(b) P(B|A)

A red die, a blue die, and a yellow die (all six-sided) are rolled. We are interested in the probability that the number appearing on the blue die is less than that appearing on the yellow die, which is less than that appearing on the red die. That is, with B, Y, and R denoting, respectively, the number appearing on the blue, yellow, and red die, we are interested in P(B<Y<R).

(a) What is the probability that no two of the dice land on the same number?

(b) Given that no two of the dice land on the same number, what is the conditional probability that B<Y<R?

(c) What is P(B<Y<R)?

Consider two independent tosses of a fair coin. Let Abe the event that the first toss results in heads, let Bbe the event that the second toss results in heads, and let Cbe the event that in both tosses the coin lands on the same side. Show that the events A, B, and C are pairwise independent鈥攖hat is, A and B are independent, A and C are independent, and B and C are independent鈥攂ut not independent.

You ask your neighbor to water a sickly plant while you are on vacation. Without water, it will die with probability .8; with water, it will die with probability .15. You are 90percent certain that your neighbor will remember to water the plant.

(a) What is the probability that the plant will be alive when you return?

(b) If the plant is dead upon your return, what is the probability that your neighbor forgot to water it?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

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.