Theoretical vs Experimental
Frequency Tables
Factorials
Fundamental Counting
Permutations and Combinations
100
John flipped a coin 25 times it landed on heads 16 times and tails 9 times.
What is the experimental probability of John getting tails?
9/25
100
The frequency table below shows the number of hours that 4th and 5th Grade teachers at CSS get every night. How many teachers get the greatest amount of sleep?
4 Teachers
100
24
4!
100
The number of outcomes when tossing 2 fair coins.
4
100
P(5,2)
20
200
In a room of 30 students, there are 12 girls. The probability of randomly picking a boy on the class list. Write as a fraction.
State theoretical or experimental probability
3/5
Theoretical Probability
200
The frequency table below shows the number of hours of sleep that 4th and 5th Grade teachers at CSS get every night.
How many teachers receive between 5 and 8 hours of sleep per night? 
17 Teachers
200
120
5!
200
The number of outcomes from tossing a single fair die and then tossing one fair coin.
12
200
P(6,2)
30
300
In a bag of marbles, there are 14 swirled, 20 solid colored, and 16 polka dot marbles. The probability that you would grab a swirled marble written as a simplified fraction.
State theoretical or experimental probability.
7/25
Theoretical Probability
300
The frequency table below shows the grades that Billy Joe Bob received on math tests throughout the first nine weeks of school.
If a 90 is the average grade on tests in math class, how many times did Billy Joe Bob score below the class average?
12 Times
300
5040
7!
300
The number of outcomes when tossing two fair dice.
36
300
P(6,3)
120
400
Out of a similar group of 425 visitors to a science museum, predict how many would choose the planetarium as their favorite exhibit.
We would expect about 68 people to say the planetarium is their favorite.
400
The frequency table below shows the grades that Billy Joe Bob received on math tests throughout the first nine weeks of school.
What is the difference between Billy Joe Bob's most frequent test score and his least frequent test score?
20
400
5!/2!
60
400
The number of outcomes when tossing 5 fair coins.
32
400
C(5,2)
10
500
Based on the table, if you choose an adult at random, what would be the probability that they would prefer to pay bills online?
P("online")=9/40 or 22.5%
500
Of the people who have kids, the relative frequency of those who do not have pets.
35%
500
6!/4
180
500
A coin is flipped 4 times. How many outcomes are there?
16
500
C(8,2)
28