Additional Rule of Probability Mutually Exclusive Inclusive

Vocabulary Matching Mini Quiz Match the correct definition to the vocab. Probability Sample Space Intersection Union Complement Experimental Probability Theoretical Probability Probability of a given experiment Probability that two events have in common Probability of what’s left over or not being ask All possible outcomes of a given event Probability of what should be assume everything is equally likely All possible out comes The chance of something to occur

Quiz Continue “Finding Probability”: An experiment consists of tossing a coin and rolling a die Find the sample space Find the probability of getting a tail and an even number A poker hand, consisting of five cards, is dealt from a standard deck of 52 cards. Find the probability that the hand contains five hearts (set up the problem only) A pair of dice is rolled and the numbers showing are observed. Find the probability of getting a sum of 9.

Classical/Theoretical Probability Use sample space to determine the probability that an even will occur Assume that all outcomes are equally likely to occur

Example: Find the probability of each event For a card drawn from an ordinary deck, find the probability of getting a queen If a family has three children what is the probability that 2 are girls If you roll a single dice, what is the probability of rolling a number greater than 3 or an even number? If you roll two dice, what is the probability of rolling a product of 6? If there is a 47% that Mary owns a car or a bike, what is the chance that she owns neither?

Sample space of rolling 2 dice

Mutually exclusive events 2 events that cannot occur at the same time Have no outcome in common

Playing Cards Activity: Find the probability of getting a king or a queen. Find the probability of getting a heart or a club. Find the probability of getting a face card. Find the probability of getting a red card. Find the probability of getting a card less than 5 or a face card.

Recall that the union symbol  means “or.” Remember! Add each individual event: P(A or B) = P(A) + P(B)

Inclusive events or non-mutually exclusive are events that have one or more outcomes in common.

Playing cards activity: Find the probability of getting a face card or a red card Find the probability of getting a king or a heart. Find the probability of getting club or a jack. Find the probability of getting a card less than 5 or a spade Find the probability of getting a card less than seven or a diamond

Do the same but subtract what they have in common or their intersection

Example: Which of the following are M.E. when a die is rolled? Getting an odd number or getting an even number Getting a 3 or getting a odd number Getting an odd number or getting a number less than 4 Getting a number greater than 3 or less than 3

Example 1: A box contain 3 glazed doughnuts, 4 jelly and 5 chocolate. If a person selects one doughnut at randomly. What is the probability that it is glazed or chocolate?

Example 2: A single die is rolled. Find the following probability P(a number greater than 4 or an even number) P(A number less than 5 or greater than 3)

Example 3: A political rally has 20 democrats, 13 republicans, and 6 independents. If a person is selected random what is the probability that he/she either a Democrats or Independent?

Exampe 4:Suppose a single card is randomly selected from an ordinary deck of cards. Find the probability of the following: P(Hearts or Diamonds) P(Spades or 6) P(Diamonds or a face card) P(red or black) P(Hearts or red)

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Closing UP: Ticket out the door What’s the difference between mutually exclusive and inclusive? How did it effect the probability outcome?