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Basic Probability
Tree Diagrams
The Counting Principle
Independent and Dependent Events
Random
100
Find the probability that you get an odd number when you roll a number cube.
1/2
100
You decide to get popcorn at the movie theater. The popcorn comes in regular, large, and jumbo sizes, and you have your choice of plain or buttered popcorn. Draw a tree diagram to figure out how many choices of popcorn you have.
6 choices
100
You have 35 country CDs and 12 pop CDs. How many outcomes are possible if you choose 1 country CD and 1 pop CD?
420
100
Are these events independent or dependent? You remove a black sock from a drawer without looking, without replacing it, then remove another black sock.
dependent
100
Solve for x: 2x + 5 = 25
x = 10
200
Each box of your favorite cereal contains one of two action figures from a movie. A supermarket has 50 boxes of cereal. In 30 of the boxes there is an action figure of the hero, and in 20 of the boxes there is an action figure of the villian. What is the probability that you randomly choose a box of cereal that has the action figure of the hero?
3/5, 0.6, or 60%
200
A coat comes in 3 colors, 4 sizes, and 2 lengths. Draw a tree diagram to figure out how many total coats are possible?
24 coats
200
Use the number of outcomes of the events to find the number of ways that the events can occur together. Event A: 25 outcomes Event B: 6 outcomes Event C: 12 outcomes
1,800
200
You randomly choose a letter from the word MATHEMATICS. What is the probability that you choose either an M or an S?
3/11
200
A bag contains 9 pieces of paper, with 5 pieces having an O and 4 pieces having an X. Suppose you randomly choose a piece of paper from the bag, you get an O, and you don't put it back. Then you randomly choose a second piece of paper. What is the probability that the second piece of paper has an X.
1/2
300
A picnic basket contains 6 turkey sandwiches, 5 chicken salad sandwiches, and 4 peanut butter and jelly sandwiches. You reach into the basket and randomly select a sandwich. Find the probability of choosing a chicken salad sandwich.
1/3
300
You can have a grilled cheese sandwich on white, wheat, or sourdough bread. You can choose from American, provolone, swiss, or cheddar cheese. Draw a tree diagram to tell how many sandwich chooses you have with cheddar or swiss cheese.
6 choices
300
How many ways can you choose 3 different movies from a list of 10?
120 ways
300
A bag has 5 red marbles and 8 blue marbles. You randomly choose a marble, and you do not replace it. Then you randomly choose another marble. What is the probability that both marbles are red?
5/39 or 12.8%
300
You spin an equally divided spinner that is divided into 5 equal sections – two times.What is the probability of spinning an odd number on both spins? Express your answer as a fraction in simplest form.
9/25
400
Jadyn decides to listen to a playlist with 12 songs, 3 of which are her favorite songs. If Jadyn listens to the playlist on shuffle, what is the probability that the first song is one of her favorites?
1/4
400
To find the probability of getting at least 2 heads when tossing a coin 3 times, make a tree diagram to find the outcomes.
4/8 or 1/2
400
Use the number of outcomes of the events to find the number of ways that the events can occur together. Event A: 10 outcomes Event B: 26 outcomes Event C: 10 outcomes
2600
400
A cookie jar has 3 oatmeal and 5 sugar cookies, and a second cookie jar has 2 oatmeal and 4 sugar cookies. You randomly choose 1 cookie from the first jar and 1 cookie from the second jar. What is the probability that both cookies are oatmeal?
1/8
400
A diary lock has a 3 digit combination. Each of the digits is a whole number from 1 through 5. Find the probability that the lock has a combination in which all of the digits are the same number.
1/25
500
A bag contains 4 red marbles, 7 green marbles and 5 yellow marbles. Anne draws a single marble at random, records its color and returns it to the bag. She does this 48 times. Her results are shown. Red: 9 Green: 20 Yellow: 19 Based on theoretical probability, how does the number of yellow marbles Anne drew from the bag compare with the number she would be expected to draw?
She chose 4 more yellow marbles than expected.
500
Use a tree diagram to find the probability. You roll a number cube and flip a coin. What is the probability that you get a 3 and tails?
1/12
500
Use the number of outcomes of the events to find the number of ways that the events can occur together. Event A: 19 outcomes Event B: 15 outcomes Event C: 4 outcomes
1140
500
You have a bag that has 9 purple legos, 5 black legos and 2 white legos. Find the probability of drawing a purple lego (do not replace the purple lego into the bag) and then drawing a white lego from the bag. Express your answer as a fraction in simplest form.
3/40
500
Describe the difference between theoretical and experimental probability.
Theoretical probability is based on analysis of the possible outcomes of an experiment, while experimental probability is found by conducting the experiment and discovering how often an event occurs based on actual observation.