Warm UP 1.Which pair of events are mutually exclusive:

a.Has ridden a roller coaster, has ridden a ferris wheel

b.Owns a classical music CD, owns a jazz music CD

c.Is a senior, is a junior

d.Has Brown hair, has brown eyes

e.Is left handed, is right handed

f.Has shoulder length hair, is male

Essential QuestionHow do I use Venn diagrams to Solve Probability problems? What is a Complement?

Standard(s):

MCC9-12.S.CP.1

Describe events as subsets of a sample space (theset of outcomes) using characteristics (or categories) of the outcomes,or as unions, intersections, or complements of other events (“or,”“and,” “not”).

Analytic Geometry Lesson 35 Unit 7: Probability Section 2: Compound Probability

Rolling two six sided dice and adding the values

1 2 3 4 5 6

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

Work Sheet from last night2. Use the addition rule to compute the probability P(A or B) = P(A) + P(B) – P(A and B)

a.You get doubles or a sum of 4

b.You get doubles or a sum of 7

c.You get a 5 on the first die, or you get a five on the second die

3. Look at the Venn diagram

•Find the following Probabilities

a.P(A ∩ B)

b.P(AUB)

c.P(AUB)’

4. Pizza Problem

•Of the 220 people who came into the Italian Deli on Friday, 104 bought pizza, and 82 used a credit card. Half of the people who bought pizza used a credit card. What is the Probability that a customer bought pizza or used a credit card?

300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300students, 200 have a dog, 180have a cat, and 150have a cat and a dog. Using this information, answer each of the following questions.Let D be the event that a randomly selected student has a dog and C be the event that a randomly selected student has a cat.

a.What is P(D),the probability that a student in the class has a dog?b.What is P(C) the probability that a student in the class has a cat?c.What is P(D and C), the probability that a student in the class has a dog and a cat?d.What is P(D or C), the probability that a student in the class has a dog or a cat?

Complementary Events

The complement of an event is the set of outcomes in the same sample space that are notincluded in the outcomes of the event.The complement is denoted with the word “not,” orwith the ' or symbol.What is the probability not being in the band or a club?

Complementary Events

What is the probability that a female does not play volleyball?

https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/v/probability-with-playing-cards-and-venn-diagrams

•https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/v/addition-rule-for-probability

Class Activity on Venn Diagrams