Probability of Single Events
Sample Space
Fundamental Counting Principle
Independent Compound Events
Dependent Compound Events
100
You roll a die. Find P(2 or 3). Make sure answer is in simplest form.
2/6 = 1/3
100
Suppose you have a bag of marbles that includes 1 red, 1 blue, and 3 yellow marbles. You pick one marble at random. What is the sample space for this experiment?
red, blue, yellow, yellow, yellow
100
How many outcomes are there for spinning a spinner with 4 equal sections and tossing a penny?
8 possible outcomes (4 x 2 = 8)
100
You toss a coin and roll a number cube with faces numbered 1 through 6. Find P(heads and even #). Make sure your answer is in simplest form.
1/2 x 3/6 = 3/12 = 1/4
100
A bag contains 3 green, 3 blue, and 3 yellow marbles. You draw two marbles from the bag. Marbles are not returned to the bag once drawn. Find P(blue and then yellow). Make sure your answer is in simplest form.
3/9 x 3/8 = 9/72 = 1/8
200
You spin a spinner with 8 equal sections. The sections have the following letters: A, B, C, D, A, B, E, A. Find P(A or C). Make sure answer is in simplest form.
4/8 = 1/2
200
You roll a number cube with faces numbered 1 to 6. Give the sample space for this experiment.
1, 2, 3, 4, 5, 6
200
How many outcomes are there for rolling a number cube with faces numbered 1 through 6 and tossing a dime?
12 outcomes (6 x 2 = 12)
200
Raymond has a deck of 5 cards, numbered 3-7. He picks two cards randomly. Cards are returned to the deck once picked. Find P(odd # and 3). Make sure your answer is in simplest form.
3/5 x 1/5 = 3/25
200
There are 5 red, 3 green, 4 orange, and 2 yellow jelly beans in a jar. You randomly select 2 jelly beans. Jelly beans are eaten after being picked. Find P(red and then orange). Make sure you answer is in simplest form.
5/14 x 4/13 = 20/182 = 10/91
300
You have a bag of 20 marbles: 7 are red, 3 are blue, 8 are green, and 2 are purple. You draw a marble randomly. Find P(green). Make sure your answer is in simplest form.
8/20 = 2/5
300
There are 6 cubes in a box: 3 yellow cubes, 1 orange cube, and 2 purple cubes. If one cube is picked from the box at random, what is the sample space for this experiment?
yellow, yellow, yellow, orange, purple, purple
300
How many outcomes are there for tossing a penny, rolling a number cube with faces numbered 1 to 6, and spinning a spinner with 4 equal sections?
48 outcomes (2 x 6 x 4 = 48)
300
You spin a spinner with sections labeled A, A, B, B, C, D and then you roll a die. Find P(vowel and then 2,3, or 6). Make sure your answer is in simplest form.
2/6 x 3/6 = 6/36 = 1/6
300
A bag contains 4 red tiles, 3 blue tiles, 2 green tiles, and 1 yellow tile. You draw a tile, keep it, and then draw another tile. Find P(green and then yellow). Make sure your answer is in simplest form.
2/10 x 1/9 = 2/90 = 1/45
400
You randomly pick a card from a deck that includes: 3 Kings, 2 Queens, 1 Ace, and 3 Jacks. Find P(Queen or Jack). Make sure your answer is in simplest form.
5/9
400
You toss a coin and spin a spinner with 3 equal sections labeled A, B, and C. What is the sample space of this experiment?
A-Heads, A-Tails, B-Heads, B-Tails, C-Heads, C-Tails
400
You get to choose from 10 different flavors of ice-cream, 5 toppings, and 3 syrups. How many different choices do you have?
150 choices (10 x 5 x 3 = 150)
400
You have a bag of marbles that consists of 5 red marbles, 6 green marbles, and 2 blue marbles. You randomly pick 2 marbles. Find P(blue and then green). Make sure your answer is in simplest form.
2/13 x 6/13 = 12/169
400
An envelope contains 5 cards numbered from 1 through 5. You draw 3 cards from the deck. Cards are not returned to the envelope once drawn. Find P(3, 4, and 5). Make sure your answer is in simplest form.
1/5 x 1/4 x 1/3 = 1/60
500
You randomly pick a marble from a bag that includes: 12 red, 14 green, 15 orange, and 8 pink marbles. Find P(not orange). Make sure your answer is in simplest form.
34/49
500
You roll a die and spin a spinner with 2 equal sections labeled A and D. What is the sample space?
1-A, 1-D, 2-A, 2-D, 3-A, 3-D, 4-A, 4-D, 5-A, 5-D, 6-A, 6-D
500
You have 6 pairs of jeans, 7 shirts, 3 types of footwear, and 5 hats. How many different outfits can you make?
630 different outfits (6 x 5 x 7 x 3 = 630)
500
You have a deck of cards that consists of 4 Kings, 2 Aces, 3 Queens, and 3 Jacks. You randomly pick 2 cards from the deck. Cards are replaced to the deck once picked. Find P(two Queens in a row). Make sure your answer is in simplest form.
3/12 x 3/12 = 9/144 = 1/16
500
There were 50 freshmen and 50 sophomores at a picnic. Their names were written on pieces of paper and placed in a hat. Two names were drawn for a prize. Once a name was picked, it was not returned to the hat. Find P(freshman's name and then a sophomore's name). Make sure your answer is in simplest form.
50/100 x 50/99 = 2500/9900 = 25/99