Independence Probability

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(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

Are the events A and B independent. Select a response and a reason.

• Yes

• No

• because P(A) = P(A|B)

• because P(A) ≠ P(A|B)

If in a random survey of 40 people,17 select option A, 24 select option B, and 13 select option B only, then...

Are choices A and B independent?

• Yes

• No

• because P(A) = P(A|B)

• because P(A) ≠ P(A|B)

What is P(A)? Round to three decimal places if necessary written as 0.123.

What is P(AUB)? Round to three decimal places if necessary written as 0.123.

What is P(A|B)? Round to three decimal places if necessary written as 0.123.

If in a random survey of 40 people,17 select option A, 24 select option B, and 13 select option B only, then...

How many people chose neither?

What is P(B)? Round to three decimal places if necessary written as 0.123.