Conditional 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

What is P(Red given blue)?

• 50%

• 26.7%

• 57.1%

• 46.7%

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

• 1
• 2
• 3
• 4

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47

What is P(T given J)?

• 79.2%

• 37%

• 70.3%

• 41.7%

What is the probability that a female is chose given they like a Toyota? 

• .525

• .4627

• .6774

• .3143

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).

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

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

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

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

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