POD October 4, 2012You do NOT need to write down the problem

An Italian restaurant offers a “create your own” pasta dish. You can choose your kind of pasta: angel hair, spaghetti, fettucine, or spiral. Then you can choose a sauce: marinara, meat, oil and garlic, or alfredo. The pasta also comes with a choice of soup or salad. Make a tree diagram to find all of the possible pasta dish combinations

What is the probability you have an angel hair pasta with a salad?

#1

Coin and

spinner

Heads

1 2 3 4 5

tails

1 2 3 4 5

#2

Number and color

1

Red White Blue

2

Red White Blue

3

Red White Blue

4

Red White Blue

5

Red White Blue

#3

Color and speed

Purple

10

18

21

24

Green

10

18

21

24

Blue

10

18

21

24

Silver

10

18

21

24

#4

SPACE and MATH

S

M T H

P

M T H

A

M T H

C

M T H

E

M T H

#6

1

HeadsA

B

TailsA

B

2

HeadsA

B

TailsA

B

3

HeadsA

B

TailsA

B

4

HeadsA

B

TailsA

B

5

HeadsA

B

TailsA

B

6

HeadsA

B

TailsA

B

#12

Boy

Boy

Boy Girl

Girl

Boy Girl

Girl

Boy

Boy Girl

Girl

Boy Girl

#13

G

G

G

B Y

Y W B

Y W

Y W B

Odds

The odds of an event compare the number of favorable events and unfavorable events when all outcomes are equally likely.

Odds can be written 3 ways Fraction : to

Odds in favor

A bag contains 8 white marbles, 6 red marbles, and 12 blue marbles.

What are the odds in favor of selecting a red marble?

What the odds in favor of selecting a white marble?

Odds against

A bag contains 4 red cards numbered 1 – 4, 4 white cards numbers 1- 4, and 4 black cards numbered 1 – 4. You choose a card at random. Odds against selecting a red card Odds against selecting a card with a 2

Review activity for quiz on FridayQuiz will cover lessons 1 – 3 be sure to use your notes and homework assignments to help you study

Section 13.1 has more examples of odds and probability

Probability

Describe in words the probability Getting tails when you flip a coin Rolling a 5 on a number cube Rolling a 9 on a number cube Getting either a heads or tails when you flip a

coin

Probability and Odds

Each letter in MASSACHUSETTS is written on a separate piece of paper and put into a bag. You randomly choose a piece of paper from the bag. Find the probability of the event. Write the probability all three ways. Write the odds all three ways.

1. You choose a T2. You choose an S3. Odds in favor that you choose an N4. Odds in favor that you choose a A

Probability and Odds

A bag contains 46 blues balloons, 29 red balloons, and 25 purple balloons.

1. Probability of choosing red balloons2. Odds in favor of purple balloons3. Odds against blue balloons

Complementary Events

Mrs. Howe surveyed her class and discovered 15% of her students are traveling to the OPRF game on Friday.

1. Identify the complement of this event. 2. Find its probability

TREE DIAGRAMS Don’t forget each layer/decision

must be connected.