Conditional Probability and Multiplication Rule

If two events are independent, the P(A|B) = P(B).

• True

• False

Use the Multiplication Rule to find the probability. A coin is tossed and a die rolled. Find the probability of tossing a tail and then rolling a number greater than 2.

• 1/3

• 1/2

• 1/6

• 1/4

Lottery Tickets: 49% of US adults have purchase a state lottery ticket in the past year. Of these 49%, about 27.5% have an income less than $36,000/year. Find the probability that a randomly selected adult has purchase a lottery ticket and has an income less than $36,000.

• 0.135

• 0.765

• 0.176

• 0.240

A shipment of 250 netbooks contains 3 defective units. If a school purchases 3 of these netbooks, find the probability that the school will receive no defective units.

What is the Multiplication Rule?

• P(A) ⋅ P(B|A)

• P(A) - P(B)

• P(A) ⋅ P(B)

• P(A) + P(B) - P(A ∩ B)

What is the Multiplication Rule?

P(A ∩ B) = ​ (a)  

• P(A) ⋅ P(B|A)

• P(A) - P(B)

• P(A) ⋅ P(B)

• P(A) + P(B) - P(A ∩ B)

Mrs. Regan has a 12% chance of making a freethrow. What is the probability she shoots twice and makes both?

• 14%

• 1%

• 24%

• 5%

Classify the events as independent or dependent.

A ball is selected from a bin of balls numbered 1 through 10. It is replaced, and then a second ball is selected.

• independent events

• dependent events

Find the probability of selecting an ace of diamonds from a deck of 52 cards and then selecting a jack of diamonds without replacing the ace.

Type your answer as a decimal rounded to four decimal places (the ten-thousandths place).

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?