1. CH 22 DEF D: Tables of Outcomes E: Compound Events F: Tree Diagrams

2. D: Tables of outcomes  Tables of outcomes are tables which compare two categorical variables. Usually a result from a survey.  To estimate probabilities, extend the tables to include totals.

3. Example

4. Answers

5. 22E Compound Events

6. Example of Compound Events

8. Independent Events  Events are independent if the occurrence of either of them does not affect the probability that the others occur.

9. More super fun examples

10. Dependent Events  Two or more events are dependent if they are not independent.  Events are dependent if the occurrence of one of the events does affect the occurrence of the other event.

11. Suppose a hat contains 5 red and 3 blue tickets. One ticket is randomly chosen, its colour is noted, and it is then put aside (not put back in the hat). A second ticket is then randomly selected. What is the chance that it was red?  If the first ticket was red,  If the first ticket was blue,

12. Example – Oh boy!  A box contains 4 red and 2 yellow tickets. Two tickets are randomly selected from the box one by one without replacement. Find the probability that: a) Both are red

13. Q & A:  A box contains 4 red and 2 yellow tickets. Two tickets are randomly selected from the box one by one without replacement. Find the probability that:

14. Example – Oh boy!  A box contains 4 red and 2 yellow tickets. Two tickets are randomly selected from the box one by one without replacement. Find the probability that: b) The first is red and the second is yellow.

15. Q & A:  A box contains 4 red and 2 yellow tickets. Two tickets are randomly selected from the box one by one without replacement. Find the probability that:

16. 22F Tree Diagrams

17.  Used when outcomes are not too numerous. Thank goodness!

18. Another fine example

19. Another fine answer

21. Suppose a hat contains 5 red and 3 blue tickets. One ticket is randomly chosen, its colour is noted, and it is then put aside (not put back in the hat). A second ticket is then randomly selected. What is the chance that it was red?  If the first ticket was red,  If the first ticket was blue,