# given that a randomly chosen student participates in band, what is the probability that the student also participates in track?

### James

Guys, does anyone know the answer?

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## Conditional Probability Flashcards

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## Conditional Probability

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Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink.

To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip?

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13%

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Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.

What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

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5/136

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1/18 Created by Klaij

### Terms in this set (18)

Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink.

To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip?

13%

Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.

What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

5/136

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing.

To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel's mail was a clothing catalog?

28%

A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced.

To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

0.21

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.

0.13

Lori downloaded all the pictures she took at Rita's wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.

To the nearest whole percent, what is the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone?

7%

What statements are correct? Check all that apply.

*The conditional probability formula is P(X │ Y) = P (X U Y) / P (Y)

*The notation P(R │ S) indicates the probability of event R, given that event S has already occurred.

*Conditional probabilities can be calculated using a Venn diagram.

At Mountain High School, the students were surveyed about their participation in band (B) and track (T). The results of the survey are shown in the Venn diagram.

Given that a randomly chosen student participates in band, what is the probability that the student also participates in track?

9/33

The 154 tenth-graders at Wilson High School were polled on whether they enjoyed their algebra or geometry course more. The results are shown below.

Algebra: 34 female, 33 male

Geometry: 40 female, 47 male

*80/154 *47/87

*no, P (Male) does not equal P (Male I geometry)

A dentist polls his patients and finds that 83 percent brush their teeth at least twice a day, 47 percent floss daily, and 19 percent brush at least twice a day and floss daily. What is the probability that a patient flosses daily, given that he or she brushes at least twice a day? Round to the nearest percent.

23%

A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second.

What are the following probabilities?

*8/12 *4/11 *8/33 *24

At a hospital, 56 percent of the babies born are boys. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.

5%

At Sanger's auto garage, three out of every five cars brought in for service need an oil change. Of the cars that need an oil change, four out of every seven also need a tire rotation.

What is the probability that a car that comes into the garage needs both an oil change and a tire rotation? Give the answer in fraction form.

12/35

Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd" and "yellow" independent?

yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow

Use the Venn diagram to calculate conditional probabilities.

Which conditional probabilities are correct? Check all that apply.

*P(D | F) = 6/34 *P(E | D) = 7/25 *P(F | E) = 8/18

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.

## Mastering Mathematics for WJEC GCSE: Intermediate

Exam Board: WJECLevel: GCSESubject: MathematicsFirst Teaching: September 2015First Exam: June 2017Help students get to grips with the new style examinations in Numeracy and Mathematics with books that build all the necessary skills to progress their learning and develop their problem-solving skills.- Provides one book for each tier ensuring full coverage, with mathematics only questions and chapters clearly highlighted so the specifications can be co-taught or taught separately as required- Organises topics into units so as to provide questions that build understanding and fluency enabling students to confidently tackle and solve real and interesting problems- Enables students to identify the appropriate remediation or extension steps they need in order to make the best progress, through easy to follow progression strands that help to identify gaps in learning- Offers a seamless five year progression when used in conjunction with KS3 MasteringMathematicsWelsh editions will be available from Spring 2016

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## Mastering Mathematics for WJEC GCSE: Intermediate

Gareth Cole, Heather Davis, Sophie Goldie, Linda Liggett, Robin Liggett, Andrew Manning, Richard Perring, Keith Pledger, Rob Summerson

Hachette UK, 18 Haz 2018 - 624 sayfa

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**Exam Board: WJEC**

**Level: GCSE**

**Subject: Mathematics**

**First Teaching: September 2015**

**First Exam: June 2017**

**Help students get to grips with the new style examinations in Numeracy and Mathematics with books that build all the necessary skills to progress their learning and develop their problem-solving skills.**

- Provides one book for each tier ensuring full coverage, with mathematics only questions and chapters clearly highlighted so the specifications can be co-taught or taught separately as required

- Organises topics into units so as to provide questions that build understanding and fluency enabling students to confidently tackle and solve real and interesting problems

- Enables students to identify the appropriate remediation or extension steps they need in order to make the best progress, through easy to follow progression strands that help to identify gaps in learning

- Offers a seamless five year progression when used in conjunction with KS3 Mastering

Mathematics

Welsh editions will be available from Spring 2016

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Başlık Mastering Mathematics for WJEC GCSE: Intermediate

Yazarlar Gareth Cole, Heather Davis, Sophie Goldie, Linda Liggett, Robin Liggett, Andrew Manning, Richard Perring, Keith Pledger, Rob Summerson

Yayıncı Hachette UK, 2018

ISBN 1510449566, 9781510449565

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## At Mountain High Sch...

At Mountain High School, the students were surveyed about their participation in band (B) and track (T).

Mathematics JamesTDG:

At Mountain High School, the students were surveyed about their participation in band (B) and track (T). The results of the survey are shown in the Venn diagram.

I REALLY need an explanation on how to solve this problem, the instructors suck at their job of explaining the math

Circles B and T intersect. Circle B contains 24, circle T contains 31, and the intersection contains 9. Number 14 is outside of the circles.

Given that a randomly chosen student participates in band, what is the probability that the student also participates in track?

1 year ago Still Need Help?

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In case if you need a diagram

### 1 attachment

Diagram.png 1 year ago Babbbygirlnini: B. 9/33 1 year ago JamesTDG:

Sorry, but I need to know how to get that, I am just burning out from failing to understand a lot of this

1 year ago

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