Conditional Probability and Independence

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

• 1/36

• 2/39

• 5/41

• 6/43

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

• .525

• .4627

• .6774

• .3143

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47

• 1
• 2
• 3
• 4

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).

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

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).

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

• 4/225

• 1/105

• 3/71

P(A)=2/5 P(B)=1/5 P(A and B)=2/25

• Dependent

• Independent