Theoretical
Experimental
Counting Principle
Vocabulary
How Likely is it?
100
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%
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
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?
As likely as not
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 66.6%
200
Brian tossed 4 coins. What is the probability of getting four tails in a row?
What is 1/16
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
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?
6
300
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.
300
How likely is it that a number cube is tossed and it lands on 8?
What is "impossible"
400
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. What is the probability of drawing a green marble?
1/3, or 33.3%
400
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%
400
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
Define "random."
When you have an equal or fair chance.
400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
500
Jerry 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
Brian guessed on both multiple choice questions that had four possible answers. What is the probability that he chose both answers correctly?
What is 1/16?
500
What is the probability of rolling three 4's in a row on a number cube?
1/216
500
Define "compound events."
When one event occurs and then a second event occurs.
500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely
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