1. Mutually Exclusive Events

2. In some situations, more than one event could occur during a single trial. In some situations, more than one event could occur during a single trial. Mutually Exclusive events are said to be Disjoint. The 2 outcomes could not happen simultaneously Mutually Exclusive events are said to be Disjoint. The 2 outcomes could not happen simultaneously Probability of Mutually Exclusive Events

3. Addition Rule for Mutually Exclusive Events When events A and B are mutually exclusive, the probability that A or B will occur is given by the addition rule for mutually exclusive events

4. Ex Teri attends a fundraiser where 15 T-shirts are being given away at the door. The winners are randomly given a shirt from a stock of 2 black, 4 blue, 9 white shirts. Teri really likes the black and blue shirts. Assuming that Teri wins first, What is the probability that she will get the shirt that she likes.

5. Let A represent the event Teri wins a black Shirt Let B represent the event Teri wins a blue shirt Teri would be happy if either A or B occurred

6. Non- Mutually Exclusive Events The Events CAN occur simultaneously Ex: on a board game you need to roll either an 8 or a double You can roll and eight and a double with 4 and 4. You need to take into consideration that you counted (4,4) twice

7. Addition rule for Non-Mutually Exclusive Events When events A and B are non- mutually exclusive events, the probability that A or B will occur is given by the addition rule for non- mutually exclusive events

8. Ex A card is randomly selected from a standard deck of 52 cards. What is the Probability that either a heart or a face card (jack, queen or king) is selected? Let A be the event that a heart is selected. Let B be the event that a face card is selected.

9. But the King, Queen and Jack of Hearts are in Both A and B!!!!!!

10. Ex An auto parts manufacturer is testing a product to see whether it requires a special coating to prevent rusting. -The quality control testing show that rust has a 0.2% probability of damaging the part. -It also has a 0.6% chance of damaging parts that are attached to it. -Lastly there is a 0.1% probability of damaging both the part and other parts it will be attached to. Determine the probability that rust will damage the products.

12. Homework! Pg 340 #1,2,3, 4a, 5,7,11,13 HAND IN 11 and 13 for Assessment