2. 11.2 Probability Day 1 5/3/16 Tuesday

3. Warm – up #2 5/3/16 Work on Extra W-S Counting Principle. (one sided) I will stamp Friday 4/29, when finished. Yesterday: Notes Pg. 3-4 Today: Notes Pg. 5-7

4. Homework Log Tues 5/3 Lesson 11 – 2 Learning Objective: To use permutations & combinations to count possibilities Hw: W-S 15-9 (both sides)

5. 5/3/16 Lesson 11-2 Probability Day 1 Algebra II Pg. 5-7 Notes packet

6. Probability P(Event) = P(E) Toss of coin: Probability of landing on heads: P(H) = “Probability of an event” Pg. 5 Notes packet

7. Probability P(will definitely occur) = 1 ex: Have 1 die. P(never occur) = 0 ex: Have 1 die. = 1 P(roll a #) P(roll a letter)= 0 Pg. 5 Notes packet

8. Ex: EX: A die is rolled. Find the probability the number showing is even. Even: 2, 4, 6  # of favorable outcomes = 3 # of total outcomes= 6 P(Even) = EX: A die is rolled. Find the probability the number showing is a 5 or a 6. # of favorable outcomes = 2 P(5 or 6) = Pg. 5 Notes packet

9. Probability EX: A spinner is divided into tenths. The sections are numbered 1 to 10. If the spinner is spun, find the probability the number is a) a multiple of 4 4 or 8 P(4 or 8) = b) between 0 and 30 1, 2, 3, 4, 5, …10 P(1, 2, …, 10) = 1 2 3 4 5 6 7 8 9 10 Pg. 6 Notes packet

10. Probability A spinner is divided into tenths. The sections are numbered 1 to 10. If the spinner is spun, find the probability the number is c) 2 P(2) = d) ½ ½ isn’t on the spinner P(½) = 1 2 3 4 5 6 7 8 9 10 Pg. 6 Notes packet

11. Probability EX: A bag contains 8 brown socks and 6 black socks. If two socks are randomly drawn, what is the probability that they will match? Total socks = 14 Two cases: 1. Two Brown: 2. Two Black: only 7 brown & 13 total left now only 5 black & 13 total left now OR Pg. 6 Notes packet

12. Probability EX: A die is rolled. Find the probability of each event. a) The number showing is less than 5 1, 2, 3, or 4 b) The number showing is between 2 and 6. 3, 4, 5 Pg. 6 Notes packet

13. Probability EX: Two dice are rolled and the numbers are noted. Find the probability of each event. a) The sum of the numbers is less than 5 Pg. 6 Notes packet

14. Possibilities when 2 dice are rolled Part a) Sum < 5 ? TOTAL = 36 Pg. 7 Copy it down!

15. Probability Two dice are rolled and the numbers are noted. Find the probability of each event. a) The sum of the numbers is less than 5 b) The sum of the numbers is 4 or 5. Pg. 6 Notes packet

16. Possibilities when 2 dice are rolled Part b) Sum = 4 or 5 ?

17. Probability Two dice are rolled and the numbers are noted. Find the probability of each event. b) The sum of the numbers is 4 or 5. P(4 or 5) = Back to Pg. 6 Notes packet

18. Probability EX: There are 12 tulip bulbs in a package. Nine will yield yellow tulips and three will yield red tulips. If two bulbs are selected at random, find the probability of each event. a) Both tulips will be red b) One tulip will be yellow and the other red Case I: Y/R Case 2: R/Y only 2 red & 11 total left now 12 total 9 Yellow 3 Red

19. Homework 15-9 Probability WS