12.5 Find Probabilities of (In)dependent Events

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Presentation transcript:

12.5 Find Probabilities of (In)dependent Events Mrs. vazquez Geometry

(S.cp.)2-6, 8 Essential Question: How are many Objective: Students will examine (in)dependent events.

definitions independent events: if the occurrence of one event doesn’t affect the occurrence of the other P(A and B) = P(A) ∙ P(B) dependent events: if the occurrence of one event does affect the occurrence of the other P (A and B) = P(A) ∙ P(B|A)

conditional probability the probability that event B occurs given that event A has occurred P(B|A)

(In)dependent event? Ex2. A drawer contains 12 white socks and 8 black socks. You randomly choose one sock without replacing it. Then you randomly choose another sock. What is the probability that both socks chosen are white? Ex2. Suppose you flip a coin twice. What is the probability that you get tails on the first flip and tails on the second flip?

Conditional Probability Find the probability that a future tropical cyclone is a tropical storm. Find the probability that a future tropical cyclone in the Southern Hemisphere is a tropical storm.

Conditional Probability Find the probability of drawing a spade, then a club with(out) replacement. Find the probability of drawing a Jack, then another Jack with(out) replacement.

solve A HS basketball team leads at halftime in 60% of their games. The team wins 80% of the time when they have the lead at halftime but only 10% when they don’t. What is the probability that the team wins a particular game during the season?