1. 12.5 Find Probabilities of (In)dependent Events
Mrs. vazquez
Geometry

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

3. 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)

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

5. (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?

6. 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.

7. 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.

8. 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?