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Homework. a) 54/268 b) 12/57 c) 12/54 3) 0.35/0.86 4) 0.08/0.37 5) 0.23/0.77 6) 0.24/0.42. Section 5.4 Multiplication Rules. Independent Events. The likelihood of two events, A and B, do not affect each other. Example: Rolling two dice Key Words: AND, BOTH, ALSO
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Homework • a) 54/268 b) 12/57 c) 12/54 3) 0.35/0.86 4) 0.08/0.37 5) 0.23/0.77 6) 0.24/0.42
Independent Events • The likelihood of two events, A and B, do not affect each other. • Example: • Rolling two dice • Key Words: AND, BOTH, ALSO • p(A)∙ p(B) = p(A and B) p(A) ∙ p(B) = p(A∩B)
Cards and Dice • What is the probability of getting a blackjackAND rolling a four on two dice? 2/52 · 3/36 = 0.003
Hot vs. Great • What percent of you think Katie Perry is hot? • What percent of you think that Vick is a great quarterback? • Find the percent of students who think Katie is hot andVick is a great QB. • Find the percent of student who think Katie is UGLY andVick is a great QB.
QUIZ • What is the probability of a student who thinks Katie is hot GIVENVick is a great QB. • What is the probability of a student who thinks Katie is hot ORVick is a great QB. • What is the probability of a student who thinks Katie is ugly ANDVick is a bad QB.
Illegal Acts • 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?
Why do you care? • 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)
Tree Diagrams • Draw a Tree Diagram to represent what can happen when you toss a coin.
Tree Diagrams P(H) = P(H) = 1/2 H H T Toss a Coin P(H,H) = P(H,H) = ½ · ½ = ¼ H T T