Probability Basics
Simple Probability
Possible Outcomes
Compound Probability
Simulations
100
If an event is impossible, what is it's probability?
0 or 0%
100
A number cube labeled 1, 2, 3, 4, 5, and 6 is rolled once. What is the probability it lands on an even number?
1/2 or 3/6 or 0.5 or 50%
100
List all of the possible outcomes if you roll a standard number cube.
1, 2, 3, 4, 5, 6
100
The spinner shown is spun twice and the pairs are recorded. What is the probability of rolling an M and a P (in any order)?
2/36 or 1/18 or 0.06 or 6%
100
A new store wants to celebrate 1 year of being open. Everyone that comes in on the 1-year anniversary will get a prize. There are 4 prizes.
Describe a model that could be used to simulate what prize the first 50 people will get.
Possible answers should include:
Doing something with 4 different options (examples: a spinner with 4 equal sections, a random number generator with 1-4, etc.).
Repeating it 50 times.
200
An event has a 100% probability. What does this tell you?
It's certain to happen.
200
A number cube labeled 1, 2, 3, 4, 5, and 6 is rolled once. What is the probability it lands on a multiple of 3?
1/3 or 2/6 or 0.33 or 33%
200
List all of the possible outcomes if you spin the spinner twice and record the pairs.
Sample answer (possible outcomes in red):
200
A pair of dice is rolled and the product recorded. What is the probability of rolling a 4?
3/36 or 1/12 or 0.08 or 8%
200
Megan has determined that 40% of the people who visit her website buy something. Describe a model you could use to simulate visitors to her website.
Possible answers should include:
Doing something with 5 (or 10) different options (examples: a spinner with 5 equal sections, a random number generator with 1-5, etc.).
Two (or 4) of the options should be labeled "buy".
300
How do you find experimental probability?
Sample answer:
Count how many times what you are looking for happened in an "experiment" out of how many times you actually ran the "experiment".
300
Using word E-I-N-S-T-E-I-N, what is the probability of getting a vowel?
4/8 or 1/2 or 0.5 or 50%
300
List all of the outcomes if you roll a pair of dice and record the product.
Sample answer (outcomes in red):
300
A pair of dice is rolled and the sum is recorded. Find the probability listed.
P(greater than 8)
P(greater than 8) = 10/36 or 5/18 or 0.28 or 28%
300
A restaurant offers six kids-meal prizes. The prizes are placed in the meals at random. Describe a model that could be used to simulate selecting one of the prizes.
Possible answers should include:
6 options (example: random number generator 1-6 or 0-5 or roll a number cube)
400
What is the difference between theoretical and experimental probability?
Sample answer:
Theoretical probability is what you expect to happen. Experimental probability is based on what actually happened.
400
The results of a survey are shown. What is the experimental probability that someone did not prefer renting movies or going to movie theaters.
80% or 0.8 or 8/10 or 4/5
400
List all of the possible outcomes if you roll a number cube and flip a coin.
Sample answer (possible outcomes in red):
400
A pair of dice is rolled and the product recorded. Find the probability listed:
P(9 or 12)
P(9 or 12) = 5/36 or 0.14 or 14%
400
A weather forecaster has predicted a 25% chance of precipitation for the next 6 days. Describe a model that could be used to find the experimental probability of rain all 6 days.
Possible answers should include:
4 options with 1 option labeled "rain" or "precipitation"
Repeat it 6 times
500
What fraction describes how to find theoretical probability for any situation?
number of favorable outcomes/number of possible outcomes
500
If 450 people were surveyed, how many would have selected reading books as their preferred type of entertainment?
99 people
500
List all of the possible outcomes if you choose 1 item from each list below:
Shirt: Gray, Black, Purple
Bottoms: Jeans, Skirt
Shoes: Tennis, Flats, Wedges
Sample answer (abbreviations used):
500
You are picking an outfit from the items below. What is the probability of wearing a gray shirt with a skirt and any kind of shoes?
Shirt: Gray, Black, Purple
Bottoms: Jeans, Skirt
Shoes: Tennis, Flats, Wedges
3/18 or 1/6 or 0.17 or 17%
500
Fifty percent of the clothes a local charity receives are coats. Describe a model that could be used to find the experimental probability of the charity receiving coats during the next 10 donations.
Possible answers should include:
2 options with 1 of them labeled "coat"
Repeat it 10 times