Conditional Probability and Independence

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

• .2

• .2222

• .10

• .5

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

• 2.14

• 24

• 4

• 8571

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

• .02

• 37.5

• .3333

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

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

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

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

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

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

• 1
• 2
• 3
• 4

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S given C).

• No, because P(S) is not the same as P(S given C).

• Yes, because P(S) is the same as P(C given S).

• No, because P(S) is not the same P(C given S).

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?

• 0.21

• 0.09

• 0.28

• 0.25

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47