1. Homework Review

2. Homework Review
1a. .2 1b. .5 1c a b. .4 2c. .2 3a b c. 1 %

3. Homework Review
25. 3/ ;

4. Conditional Probability and Independence
Section 3.2
AM.D.CR.A.5 Use permutations and combinations to compute probabilities of compound events and solve problems

5. Example Problem
Suppose that we have an bag containing 3 red poker chips, 2 blue poker chips, and 4 white poker chips, and a poker chip is to be selected at random and its color is noted. If each poker chip is equally likely, what are the probabilities of each color?
What if I tell you the one I drew is not white. What are the probabilities for the color I drew?

6. Conditional Probability
Written P(A|B) is the “probability of A given B”
P(A|B) = P(A ∩ B)/P(B)

7. Review Problem
In my closet, I have 3 caps of baseball teams (NY Yankees, Atlanta Braves, and Nashville Sounds), 2 caps of NFL teams (Patriots, Titans), and 3 caps of NBA teams (2 of the Atlanta Hawks and 1 Boston Celtics). I am having a bad hair day, so I quickly reach in to grab one of my caps. Given that I got a baseball team cap, what is the probability I picked my Braves hat?

8. Step Up…
Remember the bag from before that had 3 red, 2 blue, and 4 white poker chips.
What is the probability that I draw out two white poker chips given that I draw out at least one white poker chip?

9. Independence Events A and B are said to be independent if
P(A ∩ B) = P(A) * P(B)
When events are independent, they do not affect the probability of each other occurring.
If events are dependent, that means the probability of B depends on what happened with event A.

10. Classwork/Homework Work on p. 76 #1, 2, 6, 12, 14 – 16, 18 – 20, 23
Quiz Friday