Conditional Probability and Multiplication Rule

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

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 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) ⋅ P(B|A)

• P(A) - P(B)

• P(A) ⋅ P(B)

• P(A) + P(B) - P(A ∩ B)

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

• True

• False

John has seven keys on a ring. He gives these keys to his friend Robin and asks her to unlock a door. If two of the seven keys can unlock the door, what is the probability that Robin unlocks the door on exactly her third attempt?

A stack of magazines has 5 news magazines and 10 sports magazines. Two magazines are drawn at random without replacement. What is the probability of selecting a news magazine first and then a sports magazine?

The spinner below is divided into 4 equal parts. It is spun once, and the coin is flipped once. What is the probability of obtaining red on the spinner followed by heads on the coin?