Theoretical
Experimental
Counting Principle and Data
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.
100

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

neither likely nor unlikely 

or

as likely as not


200

The classic wood carousel at Carousel Park in Hampton, VA has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?

2/3, or 0.666..., or 66.7%

200

A number cube is rolled 24 times and lands on 2, four times and on 6, three times. find the following:

a. Find the experimental probability of landing on a 2. 

b. Find the experimental probability of not landing on a 6.  

What is: 4/24 which is 1/6 , and what is 21/24. 

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 3?

Unlikely

300

What is the probability of rolling two odd numbers in a row with a standard number cube?

1/4, or 0.25, or 25%

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
Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
6
300

Describe the difference between events that are certain, likely, neither likely nor unlikely, unlikely, or impossible.

Certain would be 100% of the time, likely is anything greater than 50% of the time, neither likely nor unlikely is exactly 50% of the time, unlikely is anything less than 50% of the time, and impossible 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?

impossible

400

Kimberly goes into a clothing store.  The following items were on the shelf. 5 small pink shirts, 2 medium pink shirts, 3 large pink shirt, 1 small green shirt, 4 large green shirts, 2 blue small shirts, 5 blue medium shirts, 1 blue large shirt, 2 small orange shirts, 1 large orange shirt.  What is the probability that Kimberly chooses a large pink shirt?

The probability Kimberly chooses a pink shirt is 3/26.

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

Two hockey players, Jake and Sam scored goals in their last 5 games.  Their goal tally's are below.

Jake: 1, 3, 2, 2, 1

Sam: 2, 2, 3, 2, 1

Find the mean of each players goals and determine which player scored more goals. 

Sam scored more goals on average, the mean for Sam is 2 goals per game, where Jake's mean is 1.8 goals per game. 

400

Define MAD.

What is: MAD is the average distance each data point is away from the mean, or average of the data set.

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? The list below shows: Number on Die is the first number and the Number of Times it Landed on that Number is the second 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 MAD of the data set below that has the most variability.

Data set 1: 10, 12, 10, 12, 13, 13, 14, 10, 11, 11

Data set 2: 10, 11, 11, 8, 9, 9, 10, 13, 13, 14 

The MAD is 1.6 

500

Define Interquartile Range.

The interquartile range is the range of the middle 50 percent of the data. To find this, you would subtract the lower quartile from the upper quartile of your data.

500

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

unlikely

M
e
n
u