Probability and Statistics Goals: Write Outcomes and Events Create a Tree Diagram Create a Probability box HW: Due 01/08/15 Chapter 3 #1,3,4,6,9,24,26,32

Word of the Day Homework – dever de casa You can use probability to tell whatever story you want. - It is all in the wording and how it is used.

Vocabulary words Venn Diagram Tree Diagram Two-Way Frequency Table Events Outcome Replacement Independent vs. Dependent Permutation Combination Factorial Multiplication Rule Addition Rule

Basics Probability – how likely an event will occur Measured in fraction, decimal, or percentage 100% : event will happen with certainty 0%: event will not happen Outcome that we want Total possible outcomes

Probability P(G) = P(R)= P(BB) = (with replacement - independent) P(BB) = (without replacement – dependent) P(B on the second pick - without replacement and 1st ball was not B)

H T H T

Another look H(.5) T(.5) H(.5) T(.5)

Probability Create a probability box and solve for the following (with replacement) P(BG) P(RR) P(GB) P(BR) P(BG or GB)

Tree Diagram Create a tree diagram for tossing a coin 3 times H H T H

What are the total number of outcomes? P(TT)? P(H)? P(TTH in this order)? P(at least 1H)? P(no more than 1T)? P(H on the third flip)?

Final Thoughts What is the total when we add all of the probabilities of an event? What operation did we use to get our probability in multiple events? What is the difference between theoretical and experimental probability 1 or 100%, Multiplication, theoretical is what we should get and experimental is what we got.