Ap Statistics Semester Exam Review Worksheets With Answer Key Page 6
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9You have a large bag of marbles, with proportions of each color listed below. Use that chart to answer
questions #47-54.
Color
Red
Yellow
Blue
Green
Orange
Purple
Black
White
Prob.
0.13
0.06
0.21
0.08
0.18
0.05
0.11
???
47. What is the probability of drawing a white marble from the bag?
48. What is the probability of drawing either a red or blue marble from the bag?
49. What is the probability of drawing a marble from the bag that is not yellow?
50. I draw a marble from the bag and tell you that it isn’t black or white. What is the probability that it is
green?
51. Imagine that you draw two marbles from the bag, replacing the first before drawing the second. What
is the probability that they are both orange?
52. What is the probability that neither of them is orange?
53. Are questions #51 and #52 above complements? Why or why not?
54. Imagine that you draw five marbles from the bag, replacing them each time before drawing the next.
What is the probability that you get at least one purple?
Suppose that, in Mr. Willets’ AP Calculus class, 71% of the students are seniors, 26% are juniors, and 4% are
sophomores. 36% of the seniors and 15% of the juniors are also in AP Statistics, but none of the sophomores
are. Use that information to answer questions #55-60.
55. Draw a tree diagram to organize the above information. Make sure to include the final probability of
each branch.
56. What is the probability that a randomly-selected student from Mr. Willets’ class is a junior in AP
Statistics?
57. What is the probability that a randomly-selected student from Mr. Willets’ class is a senior who is not
in AP Statistics?
58. What is the probability that a randomly-selected student from Mr. Willets’ class is a sophomore who is
in AP Statistics?
59. What is the probability that a randomly-selected student from Mr. Willets’ class is also in AP Statistics?
60. A student is randomly selected from Mr. Willets’ class, and that student is also in AP Statistics. What is
the probability that they are a senior?
61. Which of the following sequences of heads/tails is most likely to occur, if you flipped a fair coin 6 times?
a. H, H, H, H, H, H
b. H, T, H, T, H, T
c. H, H, H, T, T, T
d. T, H, H, T, H, T
e. None of these
Chapter Seven:
62. A fair die is rolled 600 times. Label each of the following statements as true or false:
a. Exactly 100 of the rolls will be 1s.
b. As the number of rolls approaches 600, the proportion of 5s rolled will get closer to 1/6.
c. A run of 8 odd numbers in a row is impossible, since the proportion of evens and odds has to
stay close to 50%.
d. The number of 3s rolled should be approximately equal to the number of 6s rolled, by the end.
e. The first twelve rolls will include two of each number, to keep the proportions equal.
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