Conditional Probability and Two Way Tables

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

• The probability that event B occurs is 17%.

• The probability that event B occurs is 83%.

• The probability that event A occurs, given that event B occurs, is 83%.

• The probability that event B occurs, given that event A occurs, is 83%.

Tags

CCSS.HSS.CP.A.3

A survey of the 12th grade students at Tucker High School found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day.

To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that they have a driver’s license?

• 17%

• 19%

• 36%

• 70%

Tags

CCSS.HSS.CP.B.6

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?

• 0.02

• 0.19

• 0.21

• 0.25

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Mr. Great Artist sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small and 544 were medium-sized. Out of all of the framed prints that he sold, 23 were small and 42 were extra large. Of the large prints that he sold, 188 were framed and 496 were unframed.

• 329

• 475

• 517

• 1034

Tags

CCSS.4.OA.A.3

Which two events are independent?

• A and X

• A and Y

• B and X

• B and Y

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.2

• 0.2

• 0.3

• 0.4

• 0.5

Tags

CCSS.7.SP.C.7B

What is the probability that a student does not play on a sports team? 

• .5
• .45
• .55

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.ID.B.5

• .2855
• .6246
• .0922
• .3230

Tags

CCSS.HSS.CP.A.4

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

Tags

CCSS.HSS.CP.A.4

Of the students at Lakeland High School, 5/16 are juniors, 2/3 buy lunch at school, and 1/4 are juniors that buy their lunch at school. If a student is chosen at random, what is the probability that they buy their lunch at school, given they are a junior? Hint: Drawing a Venn Diagram may help.

Write as a fraction in simplest form.

(a)  

Tags

CCSS.HSS.CP.B.6