Theoretical Probability
Permutations
Counting Principle
Independent Events
Dependent Events
100
There are 10 marbles in a bag, 3 of which are red. What is the probability you pick a red marble?
3/10
100
There are five people on a bowling team.
If they bowl one at a time, in how many different orders can they bowl?
120
100
At Mackey's, you can get ice cream in a cup, wafer cone or sugar cone. You want either cookie dough, chocolate, or vanilla ice cream. How many one-flavor options do you have?
(You pick a flavor and what you want it in.)
9
100
If you are going to toss a coin and spin the spinner shown, what is the probability that you will get heads and an even number?
2/10 or 1/5
100
You pick a card at random. WITHOUT putting the first card back, you pick a second card at random.
What is the probability of picking a 5, keeping it, and then picking a 6?
1/12
200
What is the probability you roll an even number on a number cube?
3/6 or 1/2
200
Eleven runners are entered in an event.
How many ways can 1st, 2nd and 3rd place be awarded?
990
200
How many possible outcomes are there for tossing a coin and spinning the spinner shown?
10
200
A coin is tossed and a number cube (dice) is rolled.
Find the probability of getting heads on the coin and 6 on the number cube.
1/12
200
You have the following numbers written on cards:
2, 3, 4, 5, 6, 7, and 8
What is the probability of picking an odd number, not putting it back, then picking an odd number again?
1/7
300
The PTSA is holding a raffle as a fundraiser. You bought 5 tickets. They sell a total of 375 tickets.
What is the probability that you will win the raffle prize?
5/375 or 1/75
300
Mrs. Burstein has a 2 bean bag chairs (yellow and blue).
There are 8 students that want to sit in a bean bag chair.
How many ways can they be seated (only one person to a bean bag)?
56
300
Adriana is picking out a new skateboard. The board can be purple or red, and the wheels can be green, blue or pink. How many different combinations does Adriana have to choose from?
6
300
JaMya's little sister wants to make her some jewelry with her beads. She's either going to make a necklace or bracelet and will use either blue, purple, red or green beads. What is the probability JaMya will get a bracelet with blue beads?
1/8
300
There are 20 students in the class, 12 boys and 8 girls. What is the probability of picking two boys in a row?
132/380 or 33/95
400
Ben rolls this dice, what is his theoretical probability of rolling a number lower than a 4?
P(lower than 4) = _______
3/6 or 1/2
400
The 12 students in WH Debate Club are traveling to a competition.
A Warren Hills student is chosen for each of the 5 different topics.
How many ways can the students be chosen for the 5 topics?
95,040
400
A restaurant offers a dinner special in which you get to pick 1 item from each of 4 different categories (one beverage, one appetizer, one meal, one dessert).
Beverage: Soda, Tea, Water, or Lemonade
Appetizer: Wings, Soup, or Mozzarella Sticks
Meal: Burger, Stir Fry, Pasta, or Fish
Dessert: Ice Cream, Cookie, or Brownie
How many different meals are possible?
144
400
To win this game at the carnival, you have to spin this spinner twice and land on a section with stars on both spins.
What is the probability of winning this game?
Remember you need stars on your first spin and your second spin to win.
1/16
400
There are 11 players on the soccer team. If a game ends in a tie, there is a shootout in which 5 players are selected to take a penalty kick. How many different ways can the players be chosen?
55,440
500
There are 25 marbles in a bag, 7 of which are green. What is the probability of picking a marble that is not green?
18/25
500
Terrell only has 8 pieces of Halloween candy left. In how many different orders can he eat the remaining candy?
40,320
500
Valentina is ordering a sandwich from a deli. There are 7 types of meat to choose from and 4 bread choices. For the cheese, Valentina has 3 options. How many different sandwiches can Valentina order?
84
500
A bag of marbles contains 3 red, 4 green, 1 white and 2 black marbles.
What is the probability of drawing a red marble, putting it back, and then drawing a green marble?
P(red, then green) = _______
3/25
500
A set of dominoes has 28 tiles. Seven of those tiles are "doubles" like you see here.
If four players each randomly choose a tile, without replacement, what is the probability that every one of them gets "doubles"?
Write your answer as a SIMPLIFIED fraction.
1/585