Probability and Statistics

Goals: Write Outcomes and Events

Create a Tree DiagramCreate a Probability box

HW: Due 01/08/15Chapter 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 wantTotal 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

H

T

T

Another lookH(.5)

H(.5)

T(.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

HH

H

HT

TT

TH

H

HT

T

T

• 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