1. SECURITY A hacker uses a software program to guess the passwords in Activity 2. The program checks 600 passwords per minute. What is the greatest amount of time it will take the program to guess each of the four types of passwords? a.four digits b. five digits c. six letters d. eight digits or letters (By the end of the class period you will be able to answer this question)

2. Warm Up d. Not rolling a 10.

3. Theoretical vs Experimental Probability: Student journal Page 357

4. Warm Up A bag contains the same number of each of four different colors of marbles. After 40 draws, for which color will the experimental probability be the same as the theoretical probability.

5. Quiz

6. Exploration Make a list of your two favorite ice cream flavors and your four favorite ice cream toppings. You are allowed one ice cream flavor and one topping. Make a list of your choices. How many choices are there?

7. Interactive Tree Diagram https://static.bigideasmath.com/protected/content/dc_cc2/tools/interactive_tree_diagram_7_10_4/inter active_tree_diagram_7_10_4.html

9. Dependent and Independent Events SECTION 12.2

10. I can calculate the number of possible outcomes of two or more events. Target 12.2

11. Fundamental Counting Principle

12. Example 1 Find the total number of possible outcomes

13. You try: Find the total number of possible outcomes

15. Exploration 2

17. Independent Events One event will not change the probability of another event P(A and B)=P(A)*P(B) Dependent Events One event will change the probability of another event P(A and B)=P(A)*P(B after A)

18. Example 2

19. Example 3

21. SECURITY A hacker uses a software program to guess the passwords in Activity 2. The program checks 600 passwords per minute. What is the greatest amount of time it will take the program to guess each of the four types of passwords? a.four digits b. five digits c. six letters d. eight digits or letters (By the end of the class period you will be able to answer this question)

25. Exploration

26. Exploration Again

32. Homework: Worksheet