/*! 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. 32 Tossing coins Imagine tossing a ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 32 (page 326)

Tossing coins Imagine tossing a fair coin 3times.

a. Give a probability model for this chance process.

b. Define event B as getting more heads than tails. Find P(B).

Short Answer

Expert verified

(a) There are total 8probability outcomes in the probablity model

(b) The probabilty P(B)of getting more heads than tails is1/2

Step by step solution

01

Part (a) STEP 1: Given information 

We have been given that a coin is tossed 3times.

02

Part (a) STEP 2: Explanation

In a single toss of a coin there are 2 conceivable results specifically Head (H) and Tail (T). So, by the basic rule of duplication, the full number of conceivable results in3tosses=(2脳2脳2)=2^3=8.

Sample space: (HHH,HTH,THH,TTH,HHT,HTT,THT,TTT)

03

Part (b) STEP 1: Given information

We have been given that a coin is tossed 3imes.

04

Part (b) STEP 2: Explanation 

P(B)=Probabilty of getting more heads than tails

P(B)=Total outcomes with 2or more heads /Total outcomes

Total outcomes with two or more heads =4

Total outcomes=8

P(B)=4/8=1/2

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

Gender and political party In January2017, 52%of U.S. senators were Republicans and

the rest were Democrats or Independents. Twenty-one percent of the senators were

females, and 47%of the senators were male Republicans. Suppose we select one of these

senators at random. Define events R: is a Republican and M: is male.

a. Find P(R 鈭� M). Interpret this value in context.

b. Consider the event that the randomly selected senator is a female Democrat or

Independent. Write this event in symbolic form and find its probability.

What kind of vehicle? : Randomly select a new vehicle sold in the United States in a certain month. The probability distribution for the type of vehicle chosen is given here.

Vehicle TypePassenger carPickup TruckSUVCrossoverMinivan
Probability0.46
0.15
0.10
 ?
0.05

a. What is the probability that the vehicle is a crossover? How do you know?

b. Find the probability that vehicle is not an SUV or Minivan .

c. Given that the vehicle is not a passenger car, what is the probability that it is a pickup truck?

Foreign-language studyChoose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of results:

a. What鈥檚 the probability that the student is studying a language other than English?

b. What is the probability that a student is studying Spanish given that he or she is

studying some language other than English?

Another commercial If Aaron tunes into his favorite radio station at a

randomly selected time, there is a0.20 probability that a commercial will be playing.

a. Interpret this probability as a long-run relative frequency.

b. If Aaron tunes into this station at 5randomly selected times, will there be exactly one

time when a commercial is playing? Explain your answer.

The security system in a house has two units that set off an alarm when motion is

detected. Neither one is entirely reliable, but one or both always go off when there is

motion anywhere in the house. Suppose that for motion in a certain location, the

probability that detector A goes off and detector B does not go off is 0.25, and the

probability that detector A does not go off is 0.35. What is the probability that detector

B goes off?

a.0.1b.0.35c.0.4d.0.65e.0.75
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

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.