We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

All HiSET: Math Resources

125 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review HiSET: Math but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different HiSET: Math flashcards! Our HiSET: Math flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous HiSET: Math flashcards.

Flashcards: Probability models and how to find the probabilities of events

How many ways can eight people be seated at two tables if four people should be at each table, and it only matters at which table each person sits (ass opposed to which seat)?

4,900

576

1,680

Report an Error Copyright Notice

Flashcards: Probability models and how to find the probabilities of events

How many ways can eight people be seated at two tables if four people should be at each table, and it only matters at which table each person sits (ass opposed to which seat)?

Your answer:

4,900

Your answer:

576

Your answer:

1,680

Correct answer:

Explanation:

The number of ways to choose four people to sit at the first table without regard to the arrangement at either table is the number of combinations of four people from a set of eight; once the people who will sit at the first table are chosen, the people who will sit at the second are automatically chosen. Therefore, the correct number of such arrangements is C(8,4) .

Since

$C(n, r) = \frac{n!}{(n-r)!r!}$ ,

then, setting n= 8, r= 4 ,

$C(8,4) = \frac{8!}{(8-4)!4!}$

$= \frac{8!}{4!4!}$

$= \frac{1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 }{1 \times 2 \times 3 \times 4 \times 1 \times 2 \times 3 \times 4}$

$= \frac{ 5 \times 6 \times 7 \times 8 }{ 1 \times 2 \times 3 \times 4}$

$= \frac{1680}{24}$

= 70 ,

the correct number of arrangements.

Flashcards: Probability models and how to find the probabilities of events

The spades and the aces are removed from a standard deck of 52. Give the probability that a card drawn at random will be a red three.

$\frac{1}{12}$

$\frac{1}{18}$

$\frac{1}{16}$

$\frac{1}{26}$

$\frac{1}{13}$

Report an Error Copyright Notice

Flashcards: Probability models and how to find the probabilities of events

The spades and the aces are removed from a standard deck of 52. Give the probability that a card drawn at random will be a red three.

Your answer:

$\frac{1}{12}$

Your answer:

$\frac{1}{16}$

Your answer:

$\frac{1}{26}$

Your answer:

$\frac{1}{13}$

Correct answer:

$\frac{1}{18}$

Explanation:

In a deck of 52 cards, one-fourth of the cards, or 13 cards, are spades. Also, there are four aces, one of which is a spade and three of which are not spades. It follows that the removal of the spades and the aces results in the removal of

13 + 4 - 1 = 16

cards, to leave a modified deck of

n(C))= 52- 16 = 36

cards.

None of the two red threes (the three of clubs, the three of diamonds) were removed, so the probability of a random draw of a red three is

$P(R3) = \frac{n(R3)}{n(C)} = \frac{2}{36} = \frac{1}{18}$ .

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

View Tutors

Ahmet
Certified Tutor

istanbul technical university, Doctor of Science, Structural Engineering.

View Tutors

Bilal
Certified Tutor

Arizona State University, Bachelor of Science, Biomedical Sciences.

View Tutors

Kevin
Certified Tutor

Johns Hopkins University, Bachelor in Arts, Biology, General.

Popular Subjects

Math Tutors in Chicago, GRE Tutors in Los Angeles, MCAT Tutors in Seattle, Physics Tutors in San Diego, French Tutors in Seattle, Spanish Tutors in San Diego, Computer Science Tutors in Boston, ACT Tutors in Denver, Spanish Tutors in San Francisco-Bay Area, Spanish Tutors in Chicago

Popular Courses & Classes

MCAT Courses & Classes in Washington DC, LSAT Courses & Classes in San Diego, SSAT Courses & Classes in Los Angeles, SAT Courses & Classes in Los Angeles, GRE Courses & Classes in New York City, LSAT Courses & Classes in Washington DC, SSAT Courses & Classes in Atlanta, LSAT Courses & Classes in Atlanta, ISEE Courses & Classes in Atlanta, MCAT Courses & Classes in Philadelphia

Popular Test Prep

MCAT Test Prep in Atlanta, ISEE Test Prep in Phoenix, LSAT Test Prep in Houston, ISEE Test Prep in Atlanta, MCAT Test Prep in Denver, GRE Test Prep in Dallas Fort Worth, LSAT Test Prep in Dallas Fort Worth, ACT Test Prep in Houston, LSAT Test Prep in Los Angeles, GRE Test Prep in San Diego

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

All HiSET: Math Resources

Flashcards: Probability models and how to find the probabilities of events

Flashcards: Probability models and how to find the probabilities of events

Flashcards: Probability models and how to find the probabilities of events

Flashcards: Probability models and how to find the probabilities of events

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback:

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores and create your own practice tests:

All HiSET: Math Resources

Flashcards: Probability models and how to find the probabilities of events

Flashcards: Probability models and how to find the probabilities of events

Flashcards: Probability models and how to find the probabilities of events

Flashcards: Probability models and how to find the probabilities of events

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Create an account to track your scores
and create your own practice tests: