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UNIT 9: Probability

UNIT 9: Probability. Review. #1. What is the difference between theoretical and experimental probability?. #1 Answer. Experimental Probability requires and experiment and data collection.

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UNIT 9: Probability

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  1. UNIT 9: Probability Review

  2. #1 What is the difference between theoretical and experimental probability?

  3. #1 Answer Experimental Probability requires and experiment and data collection. Theoretical Probability predicts the outcome of an event by using a ratio of the number of times the event can occur to the total number of possibilities.

  4. #2 The probability of a given event can be represented as a ratio between what two numbers?

  5. #2 Answer 0 and 1

  6. #3 As the number of trials ____, the experimental probability of an event approaches the theoretical probability of that event.

  7. # 3 Answer higher or larger

  8. #4 Five cards are labeled with the letters {M, A, R, C, H}. Find P(R)

  9. #4 Answer

  10. #5 If you flip a coin 40 times, about what percent of the tosses would be expected to land tail-side up?

  11. #5 Answer 50%

  12. #6 If you roll a six-sided number cube, what is the probability of rolling an odd number?

  13. #6 Answer

  14. #7 What is the probability of pulling out a pair of red socks from a drawer that has 4 blue, 6 white, 5 red, 3 black, and 2 brown pairs of socks?

  15. #7 Answer

  16. #8 If the weatherman says there is a 75% chance of rain, what chance is it that it won’t rain?

  17. #8 Answer 25%

  18. #9 You have 2 quarters, 6 dimes, 5 nickels, and 3 pennies in your pocket. What is the probability of pulling out a dime?

  19. #9 Answer

  20. #10 What is the probability of spinning an even number on a spinner with a sample space of the numbers 1, 2, 3, 4, 5, 6, 7, 8? Write the answer as a decimal, fraction, and a percent.

  21. #10 Answer .5, 50%,

  22. #11 What is the probability of a day of the week beginning with the letter S?

  23. #11 Answer

  24. #12 After tossing a coin 50 times, Joey had tossed heads 34 times and tails 16 times. This was an example of what type of probability?

  25. #12 Answer Experimental Probability

  26. #13

  27. #13 Answer D. 68%

  28. #14 Miriam spun the pointer on a spinner 35 times. Her results are in the table. What was her experimental probability that the spinner will land on green?

  29. #14 Answer B.

  30. #15 Kendra rolled a number cube and got 5 six times in a row. Based on her results, what is the probability of rolling a 5? • 100% B. 16.7% C. 50% D. 30%

  31. #15 Answer A. 100%

  32. #16 If you roll a fair number cube 300 times, which is the most likely number of times you would roll a 5? • 10 B. 50 C. 150 D. 300

  33. #16 Answer B. 50

  34. #17 A coin is tossed 18 times. Which experimental outcome is most consistent with theoretical probabilities? • 6 heads and 12 tails • 9 heads and 9 tails • 4 heads and 14 tails • 10 heads and 8 tails

  35. #17 Answer B. 9 heads and 9 tails

  36. #18 Chantal tossed a fair coin 100 times. How many heads and tails are most likely out of the 100 tosses? • 25 heads and 75 tails • 0 heads and 100 tails • 40 heads and 60 tails • 50 heads and 50 tails

  37. #18 Answer D. 50 heads and 50 tails

  38. #19 Suppose you plan to roll two number cubes 72 times. How many times would you expect to get doubles? • 6 B. 17 C. 12 D. 36

  39. #19 Answer C. 12 Set up a proportion:

  40. #20 What is the probability of getting a six when rolling a fair number cube one time? • 12.5% B. 16.7% C. 20% D. 25%

  41. #20 Answer B. 16.7%

  42. #21 Which of these events has a probability of 0? • Drawing a green marble from a bag containing three red marbles. • A fair coin landing on tails • A number cube landing on 3 • Two number cubes landing with a sum of 12 on the faces.

  43. #21 Answer • Drawing a green marble from a bag containing three red marbles.

  44. #22 A bag contains one red marble and one green marble. You pick a red marble and you put it back. If you randomly select another marble, what is the probability that it will be green? A) 0 B) .25 C) .5 D) 1

  45. #22 Answer C) .5

  46. #23 What is the sample space for the experiment consisting of rolling a standard number cube? • {2, 4, 6} • B. {1, 2, 3} C. {1, 2, 3, 4, 5, 6} D. {All real numbers}

  47. #23 Answer 8. C

  48. #24 Which answer could NOT be a sample space for an experiment consisting of drawing one card from a standard deck? • {black card, red card} • {ace, two, three…queen, king} • {heart, diamond, club, spade} • {suit, number, picture card}

  49. #24 Answer D. {suit, number, picture card}

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