Probability of Independent Events

Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it, and then draws another marble. What is the denominator of the simplified fraction that represents P(red then blue then green)?

32

Events A and B are independent. The probability of A occurring is 2/5 The probability of B occurring is 1/4 What is P(A and B)?

A. 1/10

A coin is flipped, then a number cube is rolled. The tree diagram shows the possible outcomes. What is P(heads, then 2)?

A. 1/12

Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?

A. A tile is drawn and replaced, and then a second tile is drawn.

Spinning a 4-section spinner twice can be described as which type of event?

A. It is an independent event. The outcome of the second spin is unaffected by the outcome of the first spin.

Leona has a bag containing lettered tiles. Which describes dependent events?

A. removing a vowel, not replacing it, and then removing another vowel

Which is a pair of independent events?

B. choosing one card from a deck and then choosing one card from another deck

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)?

C. 1/3 X 1/3

A box contains different-colored marbles. If P(blue) =1/4, P(green) =1/4 , and P(blue and green) =1/12 , which statement is true?

D. The events are dependent because P(blue) P(green) P(blue and green).

Dependent events can best be described as

D. a group of events whose later outcomes are affected by previous outcomes.

Aaron, Bob, and Charlotte are running a race. Which event would be considered dependent?

D. determining first, second, and third place runners