Probability Multiplication Rule Set Up

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 box of stickers contains 25 gold stars, 75 red stars, and 50 blue stars, all of the same size. In two random selections, what is the probability of selecting a blue star, replacing it, and then selecting a blue star again?

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) ⋅ 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%

What is the branch of mathematics that describes the patterns of chance outcomes?

• Algebra

• Geometry

• Probability

• Calculus

What is the General Multiplication Rule in probability?

• P(A and B) = P(A) + P(B)

• P(A and B) = P(A) * P(B)

• P(A and B) = P(A) - P(B)

• P(A and B) = P(A) * P(B|A)

What is the multiplication rule for independent events?

• P(A and B) = P(A) + P(B)

• P(A and B) = P(A) - P(B)

• P(A and B) = P(A) × P(B)

• P(A and B) = P(A) / P(B)

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?