Theoretical
Experimental
Counting Principle
Vocabulary
Describe the likelihood
100
You roll a standard number cube. What is the probability that you roll a number greater than 1?
5/6 or about 0.83, or about 83%
100
Hasaan has a spinner with 5 equal sections, each a different color. After 10 spins, the pointer had landed on red 40% of the time. After 1,000 spins, the pointer landed on red 22% of the time. How can Hasaan account for this change in experimental probability?
As the number of trials increase, the experimental probability gets 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?
9
100
How do you find a theoretical probability?
Find the number of favorable outcomes divided by the number of possible outcomes.
100
Describe the likelihood that a coin is flipped and lands on tails.
Equally likely
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 about 0.67, or about 67%
200
A quality control manager checks hats for defects in stitching. In a container of 40 hats, 3 were found to be defective. If there are a total of 600 hats in the factory, how many would you expect to be defective?
45 hats
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
How do you find an experimental probability?
Divide the number of successes by the number of trials.
200
Describe the likelihood that a number cube is tossed and lands on 3.
Unlikely
300
The theoretical probability that a spinner lands on a red section is 35%. If you spin the spinner 200 times, how many times would you expect the spinner to land on red?
70 times
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
What does "equally likely" mean?
It means that an event is just as likely to occur (50%) as it is to not occur (50%).
300
Describe the likelihood that a number cube is tossed and it lands on 8.
impossible
400
The theoretical probability of winning a carnival is 0.4. If you play the carnival game 20 times, how many times would expect to NOT win?
12 times
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
If one event occurs in m ways, a second event occurs in n ways, and a third event occurs in p ways, in how many ways can the three events occur together?
In m x n x p ways.
400
Describe the likelihood that a number cube is tossed and lands on any number from 1 through 6.
Certain
500
Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. Make a tree diagram. 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%
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 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 = about 17%, Experimental = 14%)
500
What is the probability of rolling three 4's in a row on a number cube? Hint: Think about the number of possible ways that you could roll a number cube.
1/216
500
Give an example of an event that is certain to occur.
Answers will vary. Example: Flip a coin and get either heads or tails.
500
Describe the likelihood that a number cube lands on a number less than 5 and a coin lands on heads. Hint: Make a tree diagram or table.
unlikely
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