Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math I : Probability

Study concepts, example questions & explanations for SAT II Math I

Create An Account

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #151 : Data Analysis And Statistics

If you draw an ace from and deck then place it back in the deck, what is the probability of drawing another ace?

Possible Answers:

$\frac{1}{221}$ $\displaystyle \frac{1}{221}$

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{1}{13}$ $\displaystyle \frac{1}{13}$

$\frac{1}{52}$ $\displaystyle \frac{1}{52}$

Correct answer:

$\frac{1}{13}$ $\displaystyle \frac{1}{13}$

Explanation:

Since the first card was placed back into the deck, it will have no effect on the second draw.

Since there are $\displaystyle 4$ aces in a deck of $\displaystyle 52$ cards, the probability would be

$\frac{4}{52}$ $\displaystyle \frac{4}{52}$ or $\frac{1}{13}$ $\displaystyle \frac{1}{13}$.

Report an Error

Example Question #152 : Data Analysis And Statistics

A fair 6 sided die is rolled twice. What is the probability of observing a 6 both times?

Possible Answers:

$\frac{1}{12}$ $\displaystyle \frac{1}{12}$

$\frac{1}{46656}$ $\displaystyle \frac{1}{46656}$

$\frac{1}{36}$ $\displaystyle \frac{1}{36}$

$\frac{1}{6}$ $\displaystyle \frac{1}{6}$

$\frac{1}{216}$ $\displaystyle \frac{1}{216}$

Correct answer:

$\frac{1}{36}$ $\displaystyle \frac{1}{36}$

Explanation:

The probability of rolling a 6 once is $\small \frac{1}{6}$ $\displaystyle \small \frac{1}{6}$ because 6 is one of 6 different possible outcomes.

The probability of two independent events happening can be multiplied together. The probability of getting 2 6's is:

$Pr(6)*Pr(6)=\frac{1}{6}*\frac{1}{6}=\frac{1}{36}$ $\displaystyle Pr(6)*Pr(6)=\frac{1}{6}*\frac{1}{6}=\frac{1}{36}$

Report an Error

Example Question #11 : Probability

If an integer $\displaystyle x$ is randomly selected such that $0 \leq x\leq20$ $\displaystyle 0 \leq x\leq20$, what is the probability that $\displaystyle x$ is a prime number?

Possible Answers:

$\frac{13}{21}$ $\displaystyle \frac{13}{21}$

$\frac{8}{21}$ $\displaystyle \frac{8}{21}$

$\frac{13}{20}$ $\displaystyle \frac{13}{20}$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Correct answer:

$\frac{8}{21}$ $\displaystyle \frac{8}{21}$

Explanation:

Probability is defined as specified outcomes divided by total possible outcomes.

$probability = \frac{specified}{total }$ $\displaystyle probability = \frac{specified}{total }$

Recall that a prime numbered is defined as a number that is divisible only by one and itself, and $\displaystyle 1$ is not prime. There are $\displaystyle 8$ prime numbers in the range of possible $\displaystyle x$ values:

$\left \{ 2,3,5,7,11,13,17,19 \right \}$ $\displaystyle \left \{ 2,3,5,7,11,13,17,19 \right \}$

Notice that the range of values, $0 \leq x\leq20$ $\displaystyle 0 \leq x\leq20$ includes zero , so there are $\displaystyle 21$ total numbers to select from.

$p=\frac{8}{21}$ $\displaystyle p=\frac{8}{21}$

Report an Error

View SAT Subject Test in Mathematics Level 1 Tutors

Jacob
Certified Tutor

Ohio State University-Main Campus, Bachelor of Science, Political Science and Government.

View SAT Subject Test in Mathematics Level 1 Tutors

Chisom
Certified Tutor

Georgia Southern University, Bachelor of Science, Biochemistry. University of Georgia, Current Grad Student, Pharmacy.

View SAT Subject Test in Mathematics Level 1 Tutors

Brooke
Certified Tutor

New York University, Bachelor in Arts, Drama and Dance Teacher Education. Georgia State University, Master of Arts, Communica...

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Washington DC, Calculus Tutors in Los Angeles, Algebra Tutors in Seattle, ACT Tutors in Dallas Fort Worth, English Tutors in Philadelphia, Calculus Tutors in New York City, LSAT Tutors in Boston, Physics Tutors in Atlanta, Spanish Tutors in Philadelphia, Reading Tutors in Washington DC

Popular Courses & Classes

MCAT Courses & Classes in Miami, GRE Courses & Classes in Atlanta, ACT Courses & Classes in Houston, Spanish Courses & Classes in Seattle, GMAT Courses & Classes in Boston, SAT Courses & Classes in Washington DC, ACT Courses & Classes in Denver, LSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Washington DC, LSAT Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in Chicago, ISEE Test Prep in Phoenix, ACT Test Prep in Dallas Fort Worth, GMAT Test Prep in Seattle, SSAT Test Prep in San Diego, SSAT Test Prep in Denver, LSAT Test Prep in Philadelphia, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Denver, ISEE Test Prep in Atlanta

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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

SAT II Math I : Probability

Study concepts, example questions & explanations for SAT II Math I

All SAT II Math I Resources

Example Questions

Example Question #151 : Data Analysis And Statistics

Example Question #152 : Data Analysis And Statistics

Example Question #11 : Probability

All SAT II Math I Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: