1. Have Fridays homework out
10.3 ~ Notes Packet
Have Fridays homework out

2. Mutually Exclusive Two outcomes or events that cannot both happen.
Examples:
Winning and loosing the exact same soccer game
Rolling two and three with one die on one roll

3. Venn Diagrams
A tool that uses overlapping circles to organize non-mutually exclusive events

4. Addition Rule for Mutually Exclusive Events
If 𝑛 1 , 𝑛 2 , 𝑛 3 , and so on, represent mutually exclusive events, then the probability that any event in this collection of mutually exclusive events will occur is the sum of the probabilities of the individual events.
𝑃 𝑛 1 or 𝑛 2 or 𝑛 3 or… = 𝑃 𝑛 1 + 𝑃 𝑛 2 + 𝑃 𝑛 3 +…

5. General Addition Rule 𝑃 𝑛 1 𝑜𝑟 𝑛 2 = 𝑃 𝑛 1 + 𝑃 𝑛 2 + 𝑃 𝑛 1 and 𝑛 2
If 𝑛 1 and 𝑛 2 represent event 1 and event 2, then the probability that at least one of the events will occur can be found by adding the probabilities of the events and subtracting the probability that both will occur.
𝑃 𝑛 1 𝑜𝑟 𝑛 2 = 𝑃 𝑛 1 + 𝑃 𝑛 2 + 𝑃 𝑛 1 and 𝑛 2

6. Example
In a class of 30 students, 19 study Physics, 17 study Chemistry and 15 study both of these subjects. Display this information on a Venn diagram and determine the probability that a randomly selected class member studies:
both subjects                                                        
at least one of the subjects
Physics, but not Chemistry
Exactly one of the subjects        
Neither subject