Section 7.3 Rules of Probability

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

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

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

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

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,