Conditional Probability Independence Multiplicative Rules

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

• .525

• .4627

• .6774

• .3143

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 P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47

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

• 1
• 2
• 3
• 4

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

• Dependent

• Independent

What is P(Red given blue)?

• 50%

• 26.7%

• 57.1%

• 46.7%

What is P(T given J)?

• 79.2%

• 37%

• 70.3%

• 41.7%

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

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7