Theoretical
Experimental
Counting Principle
Vocabulary
Describe How Likely is it?
100

Yareli 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

ELeon has a spinner with 5 equal sections, each a different color. After only 10 spins, the pointer had landed on red 4 times.  What is the experimental probability that the pointer will land on red?

4/10, 0.4 or 40%

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?

Equally likely

200

The classic wood carousel at the Binder Park Zoo has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?

32/48, or 0.67, or 67%

200

Mr. McManus decided to keep track of the number of times the kids on his tennis team made the ball over the net on a serve.  Out of 67 serves the kids made the ball over the net 42 times.  What is the experimental probability that a kid will make the ball over the net on a serve?

42/67, 0.63 or 63%

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

Halla and Aubree are candidates for class president of the 7th grade. Allie, Caden, and Emily are candidates for vice president. How many winning combinations are possible?

6

300

Describe the difference between events that are certain or never going to happen. Make sure to use percents in your answer.

Certain would be 100% 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. If Mrs. Richards reached into the box and pulls one out, what is the Theoretical Probability that the marble is red?

1/2, 0.5 or 50%

400

Cameron 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

Mrs. Renner 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

Describe the difference between events that are likely and unlikey to happen. Make sure to use percents in your answer.

Likely is anything that is about 75% of the time, and unlikely is anything about 25% of the time.

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

Tamara 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 rolling three 4's in a row on a number cube?

1/216

500

What is the difference between outcomes and favorable outcomes using flipping a coin as an example.

Outcomes are the possible results of an experiment.  Favorable Outcomes are the outcomes for a specific event. For example: the outcomes when flipping a coin are heads and tails.  The favorable outcome when flipping a coin would be which one you are hoping for (heads or tails).

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