1. Section 7.3
Rules of Probability

2. Properties of the Probability Density Function
If E and F are mutually exclusive, then

3. Ex. A local grocery store has found kept track of the amount of money spent by its customers on a single visit. Find the probability that if a customer is selected at random, the amount spent by the customer will be
More than $150
More than $50 but less than or equal to $200
= 0.15
= 0.50
Dollars spent
Probability
0.05
0.10
0.15
0.25
0.45

4. Property 4 Addition Rule
If E and F are any two events of an experiment, then
Subtract overlap E F
Note: If E and F are mutually exclusive, then

5. Ex. A card is drawn from a well-shuffled deck of 52 playing cards
Ex. A card is drawn from a well-shuffled deck of 52 playing cards. What is the probability that it is a king or a heart?
K = King and H = Heart

6. Property 5 Rule of Complements
If E is an event of an experiment and EC denotes the complement of E, then
Ex. A card is drawn from a well-shuffled deck of 52 playing cards. What is the probability that it is not a king?
K = pick a king,