Simple Multiplication Rule of Probability

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?

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

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?

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?

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)

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)

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

When do we use the multiplication rule?

• finding the probability that event a OR event b occurs

• finding the probability that event a AND event occurs

• finding the probability that event a occurs GIVEN event b