Simple Probability
Don't Pick This One
Compound Probability (with replacement)
WITHOUT Replacement Compound
100

There are 1 red marble, 2 orange marbles, 3 yellow marbles, and 4 green marbles in a bag. Suppose one marble is selected. What is the probability of selecting an orange marble? Express as a percent. P(orange)

20%

100

A normal die is rolled and a spinner labeled A - E is spun. Find the probability. P(3 and E)

1/30

100

Rick takes two coins at random from the 3 $1 coins, 5 $2 coins, and 2 10-cent coins in his pocket. What is the probability that he chooses a $1 followed by a $2 coin? 

3/10 * 5/9 = cross cancel =  1/2 * 1/3

1/6

200

Use a standard deck of cards. What is the probability of pulling out a diamond? Express as a percent. P(diamond)

25%

200

Four red pens and two white pens are placed in a bag. Find the probability of choosing a red pen followed by a white pen with replacement. P(red, then white)

4/6 * 2/6 = 2/3*1/3 = 2/9

200

Two red pens and two white pens are placed in a bag. What is the probability of pulling a red pens, followed by a white pen without replacement? P(red, then white)

1/3

300

Use a standard deck of cards. What is the probability of not pulling out a 5? Express as a fraction.

48/52 = 12/13.

300

If a fair coin is tossed three times, what is the probability of getting tails three times in a row? P(three tails)

1/8

300

You draw a card from a standard deck of cards. What is the probability that the first card will be a heart, and if replaced, the second card is a diamond? P(heart, then diamond)

1/16

300

There are 1 red marble, 2 orange marbles, 3 yellow marbles, and 4 green marbles in a bag. Once a marble is drawn, it is not replaced. Find the probability. P(two yellows in a row)

3/10 * 2/9 = CROSS CANCEL = 1/5 * 1/3 

1/15

400

Letter tiles A - Z are placed in a bag. What is the probability of pulling out a vowel? Express as a fraction. P(vowel)

5/26

400

What is the probability of a teacher choosing all answers as C's on a five questions multiple choice quiz with three choices: A, B, and C?

1/243

400

Colt's clothes closet contains 3 blue shirts, 10 white shirts, and 7 striped shirts. What is the probability that Colt will reach in and randomly select a white shirt followed by a striped shirt (without replacement)? P(white, then striped)

10/20 * 7/19 =  1/2 * 7/19  = 7/38