Theoretical
Experimental
Counting Principle
Predictions
100

Emma 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

Lorenzo 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 Lorenzo 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?

(3)(3)=9

100

Maddie rolled a die 25 times and got a 1 6 times.  How many times can you expect her to get a 1 in her next 40 tries?

9.6 times or about 10.

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 66.666%

200

Ms. Rosen flips a coin 75 times and gets a heads 30 times.  What is her experimental probability that Ms. Rosen gets a tails?

3/5, 0.6, 60%

200

What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?

6(8) = 48 possible outcomes

200

Mario made his free-shot attempts 17% of the time.  How many shots should we expect him to make out of the next 25 attempts?

4.25 or about 4 times

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, 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?

2(3) = 6 Possible combinations

300

Here is a summary of Kelso's quiz grades.  What is the probability that Kelso will get a grade in the 90s on the next quiz?

Grade     Number of Quizzes

90s                 3

80s                 5

70s                 1

1/3, 0.333... or about 33%

400

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%

400

Frankie 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

Ms. Robb 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

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

100%

500

Jude spins a spinner with 5 equal sections numbered 1-5 and he spins another spinner with 5 equal sections with the letters A-E. What is the probability he 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 

          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

How likely is it that a standard die lands on heads?

0%