Theoretical
Experimental
Counting Principle
Vocabulary
How Likely is it?
100
Maria spinning a spinner. The spinner has 5 equal sections labeled A-D. What is the probability the spinner will land on the letter "A"?
1/5 or 20%
100
Hasaan has a spinner with 5 equal sections, each a different color. After only 10 spins, the pointer had landed on red 40% of the time. After a whopping 1,000 spins, the pointer landed on red only 22% of the time. How can Hasaan account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
100
You are trying to decide what to wear to school. You know you have a green pair of pants, a red pair, and a blue pair. You also have a brown shirt, a plaid shirt, and a yellow shirt. How many different outfit combinations can you make?
9
100
Define "theoretical probability."
It is the probability of what should occur.
100
How likely is it that I pull a card from a deck of cards and it is red?
Equally likely
200
A bag of M&M's has 5 red candies, 6 blue candies, 3 yellow candies, and 6 orange candies. What is the probability that you pick a yellow candy. Express your answer as a percent.
15%
200
Ms. Catalano has a non-uniform spinner where red is 1/2 the spinner, blue is 1/4, and black is 1/4. After 700 spins, about how many times would you expect blue to show up?
175 times
200
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
48 possible outcomes
200
Define "experimental probability."
The probability of what actually occurs.
200
How likely is it that a number cube is tossed and lands on 1?
Unlikely
300
You are playing a game with a regular die. You roll the die 100 times. About how many times you expect to roll a 3 or a 6?
About 33 times.
300
Tamiya pulls cards out of a mystery bag. After each pull she replaces the card and conducts another trial. Her results after 100 trials are: 33 blue, 50 red, and 17 yellow If there are 10 cards in the bag about how many of each color do you think are in the bag?
3 blue, 5 red, and 2 yellow
300
An ice cream store sells special ice cream sandwiches. If there are 3 different kinds of cookies and 5 flavors of ice cream plus 2 different kinds of toppings, how many different ice cream sandwiches can be made?
30 types
300
Why is theoretical probability sometimes not the same as experimental? For example, if the chance of landing on Tails is 50% why when I flip a coin 10 times did I land on Tails 6 times?
Experimental depends on the number of trials you conduct and 10 trials is a small number. Experimental probability will get closer to the theoretical probability the more trials you do.
300
How likely is it that a 6 sided die is rolled and lands on 9
Impossible
400
You spin a spinner with 4 different color sections 500 times. About how many times should each color come up?
125 times
400
Mr. Del Re watches the cars that drive by his house and records their color. His results are below. Using his data what is the probability that the next car to drive by his house will be black? Red 15 White 5 Black 5 Blue 10
12.5%
400
An ice cream store sells special ice cream sandwiches. There are 3 different kinds of cookies and 5 flavors of ice cream plus 2 different kinds of toppings. Ms. Catalano randomly buys one ice cream sandwich. What is the chance that the sandwich was made with her favorite flavor?
6 out of 30 or 1/5
400
Ms. Martinez and Ms. Holder both conducted an experiment to see what is in a mystery bag. Ms. Martinez did 10 trials and thinks it is 3 black cards and 7 red cards. Ms. Holder did 100 trials and thinks it is 5 black cards and 5 red cards. Who has the more reliable data and why?
Ms. Holder because she did more trials.
400
How likely is it a coin lands on either heads or tails?
Certain
500
You flip a coin and spin a uniform spinner with 5 different colored sections. About how often should you expect to land on Heads and Red.
10% of the time
500
A shopkeeper records the types of cereal he sells over the week. 4 boxes of Fruit Loops 5 boxes of Special K 1 box of Cheerios 2 boxes of Frosted Flakes 3 boxes of Raisin Bran If he is going to order 500 boxes of cereal next week, how many of those boxes should be Raisin Bran? What percent is that?
About 100 boxes or 20%
500
Mr. Kilgore is making next year's schedule for your class. The choices for each period of the day are listed below. Create a tree diagram to help Mr. Kilgore see all of his options. 1st period: Math or Science 2nd period: English, Social Studies, or Gym 3rd period: Art, Music, or Spanish
Math Science English SS Gym English SS Gym A, M, S A, M, S A, M, S A, M, S A, M, S A, M, S 18 combinations
500
Give an example of a non-uniform event.
Anything where the chances are not equal.
500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely
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