Conditional Probability & Independence

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40
• 1.48
• .008
• .0593

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is the probability that they speak French given they are a girl? 

• 2.14
• .24
• .4
• .8571

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

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.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

What is the probability that a student plays on a sports team given they play an instrument?

• .7273

• .8

• .55

• .2222

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

The probability that a woman likes the color blue is 10%. The probability of being a women is 40%. What is the probability that someone who likes blue is chosen given they are a woman? 

• 4
• .4
• .1
• .25

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa. 

• .0267
• 37.5
• .02
• .3333

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Tags

CCSS.HSS.CP.A.1

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S|CS).

• No, because P(S) is not the same as P(S|CS).

• Yes, because P(S) is the same as P(CS|S).

• No, because P(S) is not the same as P(CS|S).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

• What is the probability of a student who does community service and does not play sports?

• What is the probability of a student who does community service given that they do not play sports?

• What is the probability of a student who does not play sports given that they do not do community service?

• What is the probability of a student who does not play sports or does not do community service?

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6