1. Homework 2) a) 54/268 b) 12/57 b) 12/57 c) 12/54 c) 12/54 3) 0.35/0.86 4) 0.08/0.37 5) 0.23/0.77 6) 0.24/0.42

2. Section 5.4 Multiplication Rules

3. Independent Events The likelihood of two events, A and B, do not affect each other. The likelihood of two events, A and B, do not affect each other. Example: Example: –Rolling two dice Key Words: AND, BOTH, ALSO Key Words: AND, BOTH, ALSO p(A) ∙ p(B) = p(A and B) p(A) ∙ p(B) = p(A and B) p(A) ∙ p(B) = p(A ∩ B) p(A) ∙ p(B) = p(A ∩ B)

4. Cards and Dice What is the probability of getting a black jack AND rolling a four on two dice? What is the probability of getting a black jack AND rolling a four on two dice? 2/52 · 3/36 = 0.003

5. Hot vs. Great What percent of you think Katie Perry is hot? What percent of you think Katie Perry is hot? What percent of you think that Vick is a great quarterback? What percent of you think that Vick is a great quarterback? Find the percent of students who think Katie is hot and Vick is a great QB. Find the percent of students who think Katie is hot and Vick is a great QB. Find the percent of student who think Katie is UGLY and Vick is a great QB. Find the percent of student who think Katie is UGLY and Vick is a great QB.

6. QUIZ What is the probability of a student who thinks Katie is hot GIVEN Vick is a great QB. What is the probability of a student who thinks Katie is hot GIVEN Vick is a great QB. What is the probability of a student who thinks Katie is hot OR Vick is a great QB. What is the probability of a student who thinks Katie is hot OR Vick is a great QB. What is the probability of a student who thinks Katie is ugly AND Vick is a bad QB. What is the probability of a student who thinks Katie is ugly AND Vick is a bad QB.

7. Illegal Acts What percent of you have done something illegal in the past 6 months? What percent of you have done something illegal in the past 6 months? What is the probability that four randomly selected students have done something illegal in the past six months? What is the probability that four randomly selected students have done something illegal in the past six months?

8. Why do you care? Anytime you are trying to find the probability that a number of events all occur MULTIPLY THEM! Anytime you are trying to find the probability that a number of events all occur MULTIPLY THEM! p(A) * p(B) = p(A and B) p(A) * p(B) = p(A and B)

9. Tree Diagrams Draw a Tree Diagram to represent what can happen when you toss a coin. Draw a Tree Diagram to represent what can happen when you toss a coin.

10. Tree Diagrams Toss a Coin H T H T H T P(H) =P(H) = 1/2 P(H,H) = P(H,H) = ½ · ½ = ¼