1. Additional Rule of Probability
Mutually Exclusive
Inclusive

2. 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

3. 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.

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

5. 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?

6. Sample space of rolling 2 dice

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

8. 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.

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

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

11. 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

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

14. 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

15. 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?

16. 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)

17. 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?

18. 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)

19. AFM BOOK Page
#32-42

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