Theoretical
Experimental
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
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?
Equally likely
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?

1/2, or 0.50, or 50%

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
Describe the difference between events that are certain, likely, equally likely, unlikely, or never going to happen.
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
500

There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaces. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?

1/5, or 0.20, or 20%

500
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%
500
Define "independent event."
When one event occurs and the item is replaced before the second event occurs.
500
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
1000

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%

1000
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%)
1000
Define "dependent event."
When one event occurs and that item is not replaced before the second event occurs.
1000
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely
M
e
n
u