1. 1.When rolling two dice, what is probability that your sum will be 4 or 5? 2.When rolling two dice, what is the probability that your sum will be an even number or a multiple of 3? Warm UP!

2. Example 3: What is the probability of picking a queen or an ace from a deck of cards Mutually Exclusive Events

3. Probability that overlapping events A and B or both will occur expressed as: P(M or E) = P(M) + P(E) - P(ME) Overlapping Events

4. Example 1: Find the probability of picking a king or a club in a deck of cards. Overlapping Events 4/13

5. Example 2: Find the probability of picking a female or a person from Tennessee out of the committee members. Overlapping Events FemMale TN84 AL63 GA73

6. Example 3: When rolling 2 dice, what is the probability of getting an even sum or a number greater than 10? Overlapping Events

7. 7/20 100 people were asked their favorite fast food restaurant. The table below has the information from the survey: 1.What is the probability that a person likes Wendy’s? 2.What is the probability that a person is male given they like Burger King? 3. What is the probability that a person is female or likes McDonald’s? 3/5 McDonald’sBurger KingWendy’s Male201510 Female201025 3/4

8. What’s the difference? What’s the probability of picking a Jack or a Queen from a deck of cards? Are these events mutually exclusive or overlapping?When would drawing 2 cards be overlapping? What is the probability of picking a Jack and a Queen from a deck of cards? What does this problem DEPEND on?

9. Independent Events Two events A and B, are independent if A occurs & does not affect the probability of B occurring. Examples- Landing on heads from two different coins, rolling a 4 on a die, then rolling a 3 on a second roll of the die. Probability of A and B occurring: P(A and B) = P(A) ∙ P(B)

10. Experiment 1 A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and a yellow marble? green P (green) = yellow P (yellow) = green yellow P (green and yellow) =

11. Dependent Events Two events A and B, are dependent if A occurs & affects the probability of B occurring. Examples- Picking a blue marble and then picking another blue marble if I don’t replace the first one. Probability of A and B occurring: P(A and B)=P(A) ∙ P(B given A)

12. Experiment 2 A random sample of parts coming off a machine is done by an inspector. He found that 5 out of 100 parts are bad on average. If he were to do a new sample, what is the probability that he picks a bad part and then picks another bad part if he doesn’t replace the first? P (bad) =P (bad given bad) =P (bad and then bad) =

13. mutually exclusive P(A or B) = P(A) + P(B) -Drawing a king or a queen -Selecting a male or a female -Selecting a blue or a red marble overlapping P(A or B) = P(A) + P(B) - P(overlap) -Drawing a king or a diamond -rolling even sum or a sum >10 on two dice -Selecting a female from GA or a female from ATL independent P(A and B) = P(A) ∙ P(B) WITH REPLACEMENT: -Drawing a king and a queen -Selecting a male and a female -Selecting a blue and a red marble dependent P(A and B) = P(A) ∙ P(B given A) WITHOUT REPLACEMENT: -Drawing a king and a queen -Selecting a male and a female -Selecting a blue and a red marble

14. HOT SEAT! $4 00 $7 00 $3 00 $5 00 Bankrupt $6 00 $200 Bankrupt Please feel under your chair. If you have a sticky note (and I know what seats do… there are 4 sticky notes) you are the LUCKY ONES today!

15. Class Work Complete the worksheet with a partner It is due at the end of class (for a grade)

16. A basket of apples contains 11 apples – 6 are red, 2 are green, and 3 are yellow. You randomly select 2 apples, one at a time. Find the probability that both are yellow if a.You replace the first apple, then select the second b.You eat the first apple, then select the second. Answer the following 2-part question before you leave: