Theoretical
Harry 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 Harry account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
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
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
What are the three labs we did this unit involving experimental probability?
Coin Lab, M&M Lab, and Spinners Lab
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
A letter tile is randomly selected from a bag, and the results are recorded: A = 16 E = 11 I = 29 O = 19 U = 25. What is the probability of getting a tile with the letter A?
4/25 or 0.16 or 16%
Amiya and Keyshawn are candidates for class president of the 7th grade. Amy, Clinton, and Laura are candidates for vice president. How many winning combinations are possible?
6
Describe the difference between events that are certain, likely, equally likely as it is unlikely, or impossible.
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.
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. What is the probability that you select a green marble?
1/3
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%
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. Draw a tree diagram to represent all possible options.
Check on whiteboard.
Define "simulation".
A model of a real-world simulation that can be used to find probabilities.
Jayne 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%
A six-sided die is thrown 50 times and lands on the number 3 20 times. How does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3?
The theoretical probability is lower than the experimental probability. (Theoretical = 16.66%, Experimental = 40%)
Create a table for the sum of two number cubes labeled 1-6. What is the probability you will get a sum of 5?
Check on whiteboard.
Define "compound events".
When there are two or more events.