warm up there are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple....

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Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1) What is the probability of getting a red marble? 2) What is the probability of getting a yellow or a blue? 3) What is the probability of getting an orange?

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Page 1: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Warm Up

There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple.

1) What is the probability of getting a red marble?

2) What is the probability of getting a yellow or a blue?

3) What is the probability of getting an orange?

Page 2: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

ProbabilityMonday May 12th, 2014

Page 3: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Vocabulary to know… • Outcome• Sample Space• Event• Probability• Theoretical Probability• Complement• Odds

• Favorable Outcome• Experimental

Probability• Union• Intersection• Experiment• Survey

Page 4: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What
Page 5: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

THEORETICAL PROBABILITY

Page 6: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Example

Page 7: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Complement

If the probability of you getting an A in this class is 78%, what is the probability that you do not get an A?

Page 8: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Example

Page 9: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Odds

Page 10: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Experimental Probability

Page 11: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Example

Page 12: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Example

Page 13: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Lesson Check

Page 14: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Lesson Check

Page 15: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

The difference between….AND

• When you are asked to find the probability of Event 1 AND Event 2 happening, they both must occur.

This is called the INTERSECTION of two sets.

Operation: Multiplication

OR

• When you are asked to find the probability of Event 1 OR Event 2 happening only one, or both could occur.

This is called the UNION of two sets.

Operation: Addition

Notation: P ∩ Q Notation: P U Q

Page 16: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

The difference between….AND OR

Notation: P ∩ Q Notation: P U Q

Page 17: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Example• List the sample space for rolling a dice• What about rolling two die?

• What is the probability of rolling an even number on the first AND a 2 on the second?

• What is the probability of rolling an even number on the first OR a 2 on the second?

Page 18: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Experimental vs. Theoretical

• Work on the Coin Flip Activity sheet with your partner.

• Answer the questions on the back.

Page 19: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Homework

Page 20: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Probability: Review &

Frequency

Tuesday May 13th, 2014

Page 21: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Warm UpComplete the half sheet!

Page 22: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Solutions

Page 23: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Solutions

Page 24: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Solutions

Page 25: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

NC COMMON EXAM ?

Page 26: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Frequency

Page 27: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Example• What is the probability of

someone having 10-13 home runs?

• What is the probability of someone having 2-9 home runs?

Page 28: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Activity• Choose a question to ask at least 15 of

your classmates.• You must have at least 3 choices• Make a Frequency Table

Example: Do you prefer chocolate, vanilla, or strawberry ice cream?

Ice Cream Frequency

Chocolate 7

Vanilla 6

Strawberry 2

Page 29: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Activity• Now create two questions to go along

with your table following the guidelines below:

1) What is the probability of _____?

2) What is the probability of ______ or ______?

Ask your partner to answer the questions using your table! Ice Cream Frequency

Chocolate 7

Vanilla 6

Strawberry 2

Page 30: Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What

Homework

• Worksheet