1. probability
By Mya Vaughan

2. probability
Probability is a measure of how likely it is that a specific outcome will occur
We use a number (9 in 10), ratio (9:10), or a percent (90%) 
Probability is calculated by the number of occurrences of a specific outcome with the total number of possible outcomes

3. definitions
Theoretical Probability- The probability model calculated based on reasoning or counting possible successful outcomes and dividing by the total possible outcomes
Experimental Probability- The actual data collected when outcomes are recorded during an experiment. It is the actual number of favorable outcomes recorded divided by the total number of trials

4. Complementary events
For every outcome that describes a favorable event there are outcomes that are not favorable.
For example, if a head on a coin is considered a favorable outcome then a tail is its complement
Together, the favorable event and its complement make 100%

5. Compound events More than one event occurring in a situation
If the outcome of event A doesn't affect event B, they are independent
If the outcome of event A DOES affect event B, they are dependent
If the events will not happen at the same time, they are mutually exclusive

6. Independent events
The outcome of the first event does not affect the outcome of the second event
The probability of both events happening is the product of each events' probability

7. Dependent events
Two events are dependent if the outcome of the second event is influenced by the first event
The probability of both events happening is the product of the first event's probability and the probability that the second event occurs if the first had occurred

8. Mutually exclusive events
It is impossible for events that are mutually exclusive to happen at the same time
If two events are mutually exclusive, then the probability that either event will happen is the sum of the probability of event

9. Fundamental counting principle
If one event can occur in m ways and another can occur in n way, then the number of ways that both events can occur is mxn 
Area model of multiplication

10. factorials
A factorial denotes the multiplication of the number and every whole number between the number and one
5! = 5x4x3x2x1 = 120

11. permutations
A permutation is an ordered arrangement of some or all the elements in a set
Any alteration in the order in which the elements are arranged in a new permutation

12. combinations
An unordered collection of some or all the elements in a set
Any alteration in the order in which the elements are arranged not be considered a new combination

13. quiz
What is 7!
A fair coin is flipped twice. What is the probability of heads coming up both times?
A restaurant offers a choice of three salads, seven main dishes, four side dishes, and six desserts. How many different four course meals can be selected?
If a number cube is tossed, what is the probability of rolling 2 or less?