Probability - Multiplication Rule

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?

An experiment consists of spinning a spinner and flipping a fair coin. The spinner consists of 4 colored sections of equal size. If the arrow on the spinner is spun one time and the coin flipped one time, what is the probability of getting the outcome “Blue, Tails”?

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?

Carlos has a spinner that is divided into 3 equal-sized sectors numbered from 1 to 3, and a number cube labeled from 1 to 6. He will spin the arrow of the spinner and roll the number cube one time. What is the probability that the arrow will land on a sector labeled 3, and the number cube will land on a number less than 3?

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)

In her book bag, Jackie has one red pencil, one yellow pencil, one blue pencil, one green pencil, one orange pencil, and one purple pencil. She also has one red pen, one blue pen, and one black pen. If Jackie randomly selects one pencil and one pen, what is the probability that she will select a purple pencil and a black pen?

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. 
What is P(purple then black)?

• 1/18

• 2/5

• 3/7

• 4/9

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

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

• 1/9

• 2/9

• 5/21

• 10/21