Theoretical
Experimental
Compare Experimental to Theoretical
100
What is theoretical probability?
What will happen if all events are equally likely
100
What is experimental probability?
The chances of something happening based on actual data and trials from an experiment.
100
What is the theoretical probability and experimental probability of landing on tails?
Theoretical: 1/2=0.50=50%
Experimental:7/10=0.7=70%
200
A bag of marbles has 3 red marbles, 5 black marbles, and 2 white marbles. What is the probability of pulling out a red marble? Fraction or percent answer.
3/10 or 30%
200
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%
200
What is the theoretical and experimental of landing on blue?
Theoretical = 1/4
Experimental = 7/20
300
I have a pack of Starburst. There are 38 orange, 13 red, and 25 yellow. What is the probability that I pick an orange one?
Impossible, Unlikely, Equally likely, Likely, Certain
Equally likely
300
Mr. Holm spun a spinner 150 times. His results are recorded below.
Green: 25
Yellow: 60
Orange: 15
Pink: 50
What was the experimental probability of spinning Orange? (Decimal or simplest form fraction)
15/150=1/10=0.1=10%
300
Theoretical is what will happen if all events are equally likely.
Experiment is what actually happens when an experiment is done.
400
There are 70 marbles in a bag.
15 are blue, 30 are red, 20 are orange and 5 are yellow.
What is the probability (as a fraction) you would pick a blue marble in simplest form?
3/14
400
Mr. Holm rolled a number cube 60 times. The results are shown below.
1: 12 times
2: 3 times
3: 10 times
4: 5 times
5: 11 times
6: 19 times
What is the experimental probability of rolling a 3 in simplest form?
1/6
400
Compare the Theoretical Probability of landing on Yellow; to the Experimental Probability of landing on Yellow if you land on yellow 5 out of 25 spins.
Theoretical: 2/8 = 1/4=0.25=25%
Experimental: 5/25 = 1/5 = 0.2 = 20%
The Theoretical probability is slightly greater than the Experimental probability
500
There are 70 marbles in a bag.
15 are blue, 30 are red, 20 are orange and 5 are yellow.
What is the probability (as a fraction) you would pick a red marble in simplest form?
3/7
500
Jake 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 Jake account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
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?
1 2 3 4 5 6
8 6 7 12 10 7
The theoretical probability is higher than the experimental probability. (Theoretical = 1/6 or 17%, Experimental = 7/50 or 14%)