×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide

Probability from a Sample Space. In Exercise, use the

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 37BSC Chapter 4.2

Elementary Statistics | 12th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

4 5 1 308 Reviews
23
3
Problem 37BSC

 

Probability from a Sample Space. In Exercise, use the given sample space or construct the required sample space to find the indicated probability.

Three Children Use this sample space listing the eight simple events that are possible when a couple has three children (as in Example 1): {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly one girl.

Florida Lottery Let A denote the event of placing a $1 straight bet on the Florida Play 4 lottery and winning. The chance of event A occurring is 1 in 10,000. What is the value of P (A)? What is the value of P (Ā)?

Example 1 In the following display, we use "b" to denote a baby boy and "g" to denote a baby girl.

Procedure

Example of Event

Sample Space(List of Simple Events)

Single birth

1 girl (simple event)

{b, g}

3 births

2 boys and 1 girl (bbg, bgb, and gbb are all simple events resulting in 2 boys and 1 girl)

{bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}

With one birth, the result of 1 female is a simple event because it cannot be broken down any further. With three births, the event of "2 girls and 1 boy" is not a simple event because it can be broken down into simpler events, such as ggb, gbg, or bgg. With three births, the sample space consists of the eight simple events listed above. With three births, the outcome of ggb is considered a simple event, because it is an outcome that cannot be broken down any further. We might incorrectly think that ggb can be further broken down into the individual results of g, g, and b, but g, g, and b are not individual outcomes from three births. With three births, there are exactly eight outcomes that are simple events: bbb, bbg, bgb, bgg, gbb, gbg, ggb, and ggg.

Step-by-Step Solution:

Solution 37BSC

Step 1 of 2</p>

The probability of occur an event  is defined as,

Step 2 of 2

Chapter 4.2, Problem 37BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Probability from a Sample Space. In Exercise, use the

×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide
×
Reset your password