Sample
Space
Single Events
Counting Principle
Independent Events
Dependent Events
100
You roll a regulation die. What is the sample space?
1, 2, 3, ,4 , 5, 6
100
You roll a die. What is the probability that you will get a 5?
1/6
100
There are 5 ice-cream flavors and 2 toppings. What is the total possible outcomes?
5 x 2 = 10
100
You are randomly picking two marbles from a bag of marbles. Marbles are replaces. There are 3 green marbles and 5 red marbles. What is P(green and then red)?
3/8 x 5/8 = 15/64
100
You are randomly choosing two marbles from a bag. There are 4 red and 2 green marbles in the bag. Marbles are NOT replaced once chosen. What is P(two red marbles)?
4/6 x 3/5 = 12/30 = 2/5
200
You spin a spinner with 4 equal sections each with a different color. The colors are red, orange, yellow, and blue. What is the sample space?
red, orange, yellow, blue
200
You spin a spinner with 8 equal sections, numbered from 1 - 8. What is the probability that you will get an even number?
4/8 = 1/2
200
You have 4 jeans, 2 shirts, and 2 hats. What is the total possible number of outfits you could make?
4 x 2 x 2 = 16
200
You are randomly picking 2 cards from a deck that includes: King, Queen, Queen, Jack, and Ace. Cards are returned to the deck. What is P(Queen and then Queen)?
2/5 x 2/5 = 4/25
200
You are randomly picking 2 cards from a deck of cards that includes: ace, ace, king, queen, and jack. Cards are NOT returned to the deck once picked. What is P(king and then ace)?
1/5 x 2/4 = 2/20 = 1/10
300
You are picking a card from a deck of cards that includes 2 Kings, a Jack, and 3 Queens. What is the sample space?
King, King, Jack, Queen, Queen, Queen
300
You have a bag of blocks: 1 yellow, 2 blue, and 3 red. What is the probability that you will pick a blue block?
2/6 = 1/3
300
There are 3 pizza pie sizes, 6 toppings, and 2 kinds of crusts to choose from. What is the total possible number of outcomes?
3 x 6 x 2 = 36
300
You are spinning a spinner with 4 equal sections TWICE. Each section is a different color: Red, Green, Blue, Black. What is P(red and then blue)?
1/4 x 1/4 = 1/16
300
There are 20 students in your class. Each student writes his/her name on a piece of paper and places it in a hat. Two names are chosen at random for a prize. Once a name has been chosen, it is NOT returned to the hat. What is P(your name is chosen and then your friend's)?
1/20 x 1/19 = 1/380
400
You pick a marble from a bag. There are 2 green, 1 red, and 1 blue marble in the bag. What is the sample space?
green, green, red, blue
400
You are picking a card from a deck of cards that include the following: queen, king, jack, ace, ace, ten, five What is the probability that you will pick an ace?
2/7
400
You have to choose from 2 notebooks, 3 pencils, and 4 binders. What is the total possible outcomes?
2 x 3 x 4 = 24
400
You are rolling a die 3 times. What is the P(2, 5, and then 3)?
1/6 x 1/6 x 1/6 = 1/ 216
400
You are choosing 3 blocks from a container that includes: 2 red blocks, 2 green blocks, and 3 yellow blocks. Blocks are NOT returned to the container once picked. What is P(red, green, and then red)?
2/7 x 2/6 x 1/5 = 4/210 = 2/105
500
You flip a coin two times. What is the sample space?
H-H, H-T, T-T, T-H
500
You have 10 green marbles, 4 black marbles, and 6 red marbles. You pick one marble at random. What is the probability that you will get a red marble?
6/20 = 3/10
500
You have 6 shirts, 5 skirts, 3 pairs of sunglasses, and 2 pairs of shoes. What is the total number of outfits you could make?
6 x 5 x 3 x 2 = 180
500
You are spinning a spinner and then flipping a coin. The spinner has 3 equal sections labeled A, B, and C. What is P(A and then tails)?
1/3 x 1/2 = 1/6
500
You are choosing 3 marbles from a bag. There are 4 black, 2 red, and 5 green marbles in the bag. Marbles are NOT returned to the bag once chosen. What is P(red, green, and then green)?
2/11 x 5/10 x 4/9 = 40/990 = 20/495 = 4/99