2. Probability Theoretical Probability Experimental Probability Sample Space and Counting Principle Independent and Dependent Events Permutations and Combinations 200 400 600 800 1000 Bonus Question: 5000 pts

3. Topic 1: 200 Question: – You have a set of cards numbered 1-12. Find the probability of selecting a multiple of 4. Answer 3/12 = 1/4

4. Topic 1: 400 Question: – You have a set of cards numbered 1-12. Find the probability of selecting a prime number. Answer 5/12(2, 3, 5, 7, 11 are prime)

5. Topic 1: 600 Question: You have a set of cards numbered 1-12. Find the probability of selecting a multiple of 3 or multiple of 4. Answer 6/12 = 1/2(3, 4, 6, 8, 9, 12)

6. Topic 1: 800 Question: You have a set of cards numbered 1-12. Find the probability of selecting a multiple of 3 and 4. Answer 1/12

7. Topic 1: 1000 Question: Find the odds against picking a day of the week that begins with T. Answer 5/2

8. Topic 2: 200 Question: Kayla flipped a coin 30 times. She got 18 heads. Find P(tails). Answer 12/30 = 2/5

9. Topic 2: 400 Question: Use the line plot to answer the question. Find P(Monday) Answer 6/25

10. Topic 2: 600 Question: Use the line plot to answer the question. Find P(weekend) Answer 7/25

11. Topic 2: 800 Question: Use the line plot to answer the question. Based on this data, how many kids would you expect to have birthdays on Tuesday if you sampled 100 kids? Answer 20 kids

12. Topic 2: 1000 Question: You roll 2 coins 100 times and get the following results: – Two heads = 27 – One heads, and one tails = 48 – Two tails = 25 For which of these outcomes is the experimental probability the same as the theoretical probability? Answer Two tails

13. Topic 3: 200 Question: List the sample space for selecting a month of the year at random. Answer Jan, Feb, Mar, Apr, May, Jun, Jul, Aug, Sept, Oct, Nov, Dec

14. Topic 3: 400 Question: Show the sample space for spinning the spinner and rolling a number cube. Answer B1, B2, B3, B4, B5, B6, G1, G2, G3, G4, G5, G6, Y1, Y2, Y3, Y4, Y5, Y6, R1, R2, R3, R4, R5, R6

15. Topic 3: 600 Question: How many different gelatis can you order from Rita’s if there are 8 water ice flavors, 2 custard flavors, and 3 size choices? Answer 48

16. Topic 3: 800 Question: How many ways can 5 runners finish a race? Answer 5! = 5 x 4 x 3 x 2 x 1 = 120

17. Topic 3: 1000 Question: How many different ways can the letters of MADISON be arranged if 4 letters are chosen at a time? Answer 7 x 6 x 5 x 4 = 840

18. Topic 4: 200 Question: You have a bag of Skittles with 4 green, 3 orange, 1 red, and 2 yellow. You pick two with replacement. Find P(green, then yellow) Answer 4/10 x 2/10= 8/100= 2/25

19. Topic 4: 400 Question: You have a bag of Skittles with 4 green, 3 orange, 1 red, and 2 yellow. You pick two with replacement. Find P(not red, red) Answer 9/10 x 1/10

20. Topic 4: 600 Question: You have a bag of Skittles with 4 green, 3 orange, 1 red, and 2 yellow. You pick two without replacement. Find P(yellow, orange) Answer 2/10 x 3/9= 6/90=1/15

21. Topic 4: 800 Question: You have a bag of Skittles with 4 green, 3 orange, 1 red, and 2 yellow. You pick two without replacement. Find P(green, then green) Answer 4/10 x 3/9= 12/90= 2/15

22. Topic 4: 1000 Question: You take a 4 question True/False quiz. What is the probability that you get all four questions correct if you guess on all of them? Answer ½ x ½ x ½ x ½ = 1/16

23. Topic 5: 200 Question: Find 7! Answer 5040

24. Topic 5: 400 Question: Find 6 P 4 Answer 6 x 5 x 4 x 3 = 360

25. Topic 5: 600 Question: Find 7 C 3 Answer (7 x 6 x 5) / (3 x 2 x 1) = 210/6= 35

26. Topic 5: 800 Question: You order a hot fudge sundae with 3 toppings from a menu with 7 toppings. How many sundaes are possible? Answer (7 x 6 x 5) / (3 x 2 x 1) = 35

27. Topic 5: 1000 Question: You have 5 chores to do when you get home. In how many different ways can you do them? Answer 5 x 4 x 3 x 2 x 1 = 120

28. Bonus Question: 5000 pts. Question: How many different ways are there to arrange the letters of TRIDICO? Answer (7 x 6 x 5 x 4 x 3 x 2 x 1) / (2 x 1) = 2520

29. The Winner Of The Last Round Write Down How Much Money You Are Willing To Risk If You get the Question write you win that money If you get it wrong you Loss the money!

30. The Winner Of The Last Round Write Down How Much Money You Are Willing To Risk If You get the Question write you win that money If you get it wrong you Loss the money!