Theoretical
Experimental
Counting Principle
Vocabulary
How Likely is it?
100

Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?

1/8 or 0.125, or 12.5%

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. (The Law of Large Numbers)
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 or what we expect to occur.

100
How likely is it that a coin is flipped and lands on tails?
Equally likely
200

A carousel has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?

1/2, or 0.50, or 50%

200

You roll a dice 10 times and get the following:  

2,6,4,1,1,5,3,6,1

What is higher the theoretical or experimental probability of getting a 1? Explain how you know.

theoretical 1/6 = 17%

experimental 3/10 = 30%

Experimental is higher.

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 in an experiment.

200
How likely is it that a number cube is tossed and lands on 3?
Unlikely
300

What is the probability of choosing a face card (J, Q, K) in a deck of cards?  Give your answer as a fraction. 

3/13

300
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25
11/100 or 0.11, or 11%
300

Amy and Shawn are candidates for class president of the 7th grade. Avery, Chris, and Laura are candidates for vice president. How many winning combinations are possible?

6

300

Describe the difference between events that are certain, likely, equally likely, unlikely, or never going to happen in terms of percents.

Certain would be 100% of the time, likely is anything greater than 50% of the time, equally likely is exactly 50% of the time, unlikely is anything less than 50% of the time, and never is anything that has a 0% chance of occuring.

300
How likely is it that a number cube is tossed and it lands on 8?
never going to happen
400

There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. What is the probability of choosing a red or yellow marble? Give your answer as a fraction.

2/3

400

Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3

1/5, or 0.20, or 20%

400

Sami is packing for a trip. She packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy blue suit, and a gray suit. What is the probability that the first outfit she wears is the gray suit with a pink blouse?

1 out of 12

400

The theoretical probability and experimental probability of an event happening are not always the same.  How do we make them closer?

The more trials in an experiment, the closer the experimental probability will be to the theoretical.

400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
500

Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?

1/25 or 0.04, or 4%

500

A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? Number on Die How Many Times it Landed on that Number 1 8 2 6 3 7 4 12 5 10 6 7

The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)

500

What is the probability of flipping heads on a coin and then rolling an even # on a dice?

1/4 or 25%

500

What is a sample space?

All the possible outcomes of an event.

500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely