Theoretical
Experimental
Compound Events
Mixed Practice
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. This is the expected probability of an event.
200
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. What is the probability that the marbles that is taken out is NOT red?
P (Not Red) = 3/6, 0.50, 50%
200
Jessica records the number of winners at the Dunk-a-Teacher booth at the town fair as shown in the table. If there are 750 contestants on Monday, how many should Jessica expect to dunk a teacher?
90 Contestants
200
Define "experimental probability."
The probability of what actually occurs; the probability from an event/experiment that has happened.
300
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%
300
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%
300
Ms. French 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
Jayden 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%
400
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%)
400
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.
500
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
500
The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table.
For which of these flavors does the experimental probability differ the most from the theoretical probability?
D) Banana