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Truth Tables Statements Rules/Logical Fallacies. Probability Venn Diagrams Odds. Mult. Principle Combinations Permutations. Stem & Leaf Box & Whisker 5 # Summary Expected Value. Mean & Standard Deviation. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300.

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  1. Truth Tables Statements Rules/Logical Fallacies Probability Venn Diagrams Odds Mult. Principle Combinations Permutations Stem & Leaf Box & Whisker 5 # Summary Expected Value Mean & Standard Deviation 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  2. Example This cartoon character lives in a pineapple, and has a pink starfish as a best friend. Who is SpongeBob?

  3. 100 Write the contrapositive of the following statement: If it is sunny, I will drive to California. ~q → ~p If I do not drive to California, then it is not sunny.

  4. 200 Evaluate the following statement if p is true, q is false, and r is false: (p → q) ∨ ~q True

  5. 300 Evaluate the following statement if p is true, q is true, and r is false. ~(p ∨ ~q) → [(~p ∧ ~r) ∧ r] True

  6. 400 • Which rule or fallacy makes this statement valid or invalid? • p∨ q • ~p • _____ • q Valid: disjunctive syllogism

  7. 500 Find the truth value of the given statement using a truth table. (~p ∨ r) → (q → p) T T T T F F T T

  8. 100 I have 4 pairs of flip-flops, 2 pairs of heels, and 5 pairs of flats. What are the odds against me randomly selecting a pair of flip-flops? 7:4

  9. 200 Find P(~N│C). (8+11)/25 = 19/25 = .76

  10. 300 • In a survey of 40 Winthrop students: • 24 like eating out at Ichiro • 15 like Groucho’s • 18 like McDonald’s • 9 like Ichiro and Groucho’s • 11 like Ichiro and McDonald’s • 6 like Groucho’s and McDonald’s • And 4 like all three. Complete a Venn Diagram and find out how many of the students surveyed only like eating out at Ichiro. 8 5 4 4 7 2 5

  11. 400 On average, there are equal amounts of watermelon, grape, blue raspberry, green apple, and cherry flavors in a bag of Jolly Ranchers. If I randomly select 5 from a bag, what’s the probability I do not pick out a single green apple? 5C0·(.2)0·(.8)5-0 = .32768

  12. 500 On average, I know 25% of the pens in my purse are dead. If I randomly pull out 4 of them, what is the probability only one of them works? 4C1·(.25)1·(.75)4-1 = .046875

  13. 100 Jenny has 4 shirts, 2 pairs of pants, and 3 pairs of shoes. How many outfits can she make? Jenny can make 24 outfits.

  14. 200 Alex, Megan, Anna, Brian, Mike, Katie, and Savannah are posing for their annual holiday photo. Anna and Mike need to stand on opposite ends of the group, since they’re the shortest. How many ways can these friends order themselves for the photo? 2·5·4·3·2·1·1 = 240

  15. 300 At Sarah’s Thanksgiving dinner, there were 3 meats, 4 vegetables, 5 starches, and 3 desserts. Everyone is told they can choose one meat, two vegetables, two starches, and a dessert. How many meal combinations are possible? 3C1·4C2·5C2·3C1 = 540

  16. 400 An employee is in charge of putting together a window display at the front of a dress shop. There are 5 wedding dresses, 8 cocktail dresses, and 10 prom dresses to choose from. The manager said to use two dresses of each type in the display. How many window displays are possible? 5C2·8C2·10C2 = 12600

  17. 500 I have 6 chocolate chip, 10 peanut butter, and 8 sugar cookies. If I pick 8 of them out of the box at random, what is the probability I get 4 chocolate chip, 3 sugar, and 1 peanut butter?

  18. 100 Construct a Stem and Leaf plot using the given set of numbers: 88 72 73 82 87 84 87 63 67 66 65 66 66 68 73 74 77 89 92 95 94 51 • 1 • 3 5 6 6 6 7 8 • 2 3 3 4 7 • 2 4 7 7 8 9 • 2 4 5

  19. 200 Find the five number summary for the following set of data: 15 17 22 19 17 17 20 25 27 26 27 19 16 12 Min: 12 Q1: 17 Q2 (median) :19 Q3: 25 Max: 27

  20. 300 Create a box and whisker plot using the following data: 2 3 5 5 4 3 4 7 8 7 4 7 3 8 6 4 9 5 Min: 2 Q1: 4 Q2 (median): 5 Q3: 7 Max: 9 2 3 4 5 6 7 8 9

  21. 400 Yellow = win $10 Red = win $5 Blue = win $1 Costs $2 to play the game. Find the expected value. .1 .2 .3 $0.30

  22. 500 A school sells 50 tickets to a carnival. Each ticket is entered into a raffle for a $400 iPad, a $50 Target gift card, and 3 books worth $20 each. The tickets cost $5 each. Find the expected value. $5.20

  23. 100 Find the mean for the following set of data: 35 37 44 38 41 35 30 37.14286

  24. 200 Find the mean for the following set of data: 25 19 18 18 27 27 29 22 19 23 30 27 23.6667

  25. 300 Find the standard deviation for the following set of data: 27 36 43 24 8.66025

  26. 400 Find the standard deviation for the following set of data: 30 35 20 17 12 9.4710

  27. 500 Find the standard deviation for the following set of data: 30 12 27 12 8 27 9.6678

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