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

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Presentation transcript:

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

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.

Example

Answers

22E Compound Events

Example of Compound Events

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

More super fun examples

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.

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,

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

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:

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.

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:

22F Tree Diagrams

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

Another fine example

Another fine answer

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,