Definitions
This type of probability is based on what should happen mathematically, assuming all outcomes are equally likely.
Theoretical Probability
What is the probability of rolling a number less than 5 on a 6 sided die? Certain, Likely, Unlikely, or Impossible?
Likely
I have 3 red marbles 7 green marbles and 8 blue marbles. What is the probability that I grab a red marble given that I grabbed a green marble the first time?
1/6
Is this mutually inclusive or exclusive. Trying to find an odd numbered playing card and a red card
Mutually inclusive
A license plate consists of 3 letters followed by 2 digits. Repetition is allowed. How many different license plates are possible?
1,757,600
A weather forecaster says there is a good chance of rain tomorrow because of experience and current conditions. What type of probability is being used
Subjective Probability
A bag contains 5 red marbles and 3 blue marbles. What is the probability of selecting a blue marble?
3/8
A deck contains 52 cards. One card is drawn and is known to be a face card. What is the probability it is a king?
1/3
A die is rolled. What is the probability of rolling a 2 or a 5?
1/3
How many ways can 5 students line up for lunch?
5!=120
Two events that cannot happen at the same time.
Mutually Exclusive events
A basketball player makes 18 out of 30 free throws in practice. Using this information, what is the experimental probability they make their next free throw?
3/5
In a class:
Given that a student takes Spanish, what is the probability they also take French?
5/18
A card is drawn. What is the probability of drawing a king or a queen?
2/13
How many ways can a president and vice president be chosen from 8 students
8P2=56
What the overlap of two events in a Venn diagram is called
The intersection
A bag contains 7 red marbles and 3 blue marbles and 5 green marvles. What are the odds in favor of selecting a red marble?
7:8
A survey out of 45 students shows:
Given that a student likes pizza, what is the probability they also like tacos?
1/4
In a class of 30 students:
What is the probability that a randomly chosen student plays sports or is in band?
5/6
A pizza shop offers 10 toppings. How many ways can a customer choose 2 toppings?
10C2= 45
Union
A coin was flipped 100 times and landed on heads 58 times.
What is the theoretical probability of landing on heads?
1/2
A survey of 100 students found:
Given that a student has a driver's permit, what is the probability they also DO NOT have a part-time job?
7/12
At a school of 200 students:
What is the probability a randomly selected student takes Spanish or Art?
33/40
How many ways can 6 students be selected from a class of 15 students?
15C6=5005