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Statistics
Chapter 4 Practice Test
Name__________________________
Intro: Probability Test
No Graphing Calculators
Short Answer. Show your work. Points will be taken off if an answer is by itself.
1. Find P(rolling 2 or 5) with one number cube.
2. You have 15 pennies in your pocket. Of those pennies, 3 are Canadian. Suppose you pick a penny out of your
pocket at random. Find P(not Canadian).
3. You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw
a name at random, what is P(boy’s name)?
4. A survey of teenagers found the music preferences listed. If you pick a teenager at random, what is P(rock)?
Country
12
Jazz
5
Rock
7
Classical
6
New Age
6
Other
4
5. A bag contains 3 green marbles and 8 white marbles. Suppose a marble is randomly selected. What are the
odds in favor of picking a white marble? Note: Odds are calculated ....Favorable / Unfavorable
6. A jar contains 45 red candies and 60 black candies. Suppose a candy is selected at random. What are the odds
against selecting a red candy?
7. The probability of winning a particular game at the Game Place is
. Find the odds against winning the
game.
8. A sandwich is made with only one type of bread, one type of meat, and one type of cheese. There are 3 types
of bread: white, wheat, or rye; 2 types of meat: turkey or roast beef; and 2 types of cheese: American or
Swiss. Draw a tree diagram to show the number of sandwich choices.
9. You can order a skirt with the three different lengths (knee, mid-calf, ankle) and the four different colors
(navy, black, khaki, denim). Draw a tree diagram to show the number of choices.
10. A lunch menu consists of 5 different sandwiches, 2 different soups, and 5 different drinks. How many choices
are there for ordering a sandwich, a bowl of soup, and a drink?
11. Ms. Wong is redecorating her office. She has a choice of 7 colors of paint, 4 kinds of curtains, 3 colors of
carpet, and 2 styles of furniture. How many different ways are there to redecorate if she can choose two
different colors of paint, one kind of curtain, one color of carpet, and one style of furniture?
12. Use the table.
a. How many possible pairs of jeans are there if each pair has one style and one color?
b. Suppose you have one pair of jeans of each possible style and color in the table. What is
the probability of choosing a pair of black jeans at random?
Style
regular
loose fit
boot cut
slim fit
Color
light blue
indigo
washed
black
blue
13. Find the sample space for tossing 2 coins. Then find P(exactly 1 head).
Use the Counting Principle to find the probability.
14. choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9
15. rolling a 4 on each of 4 number cubes
16. Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are
odd?
17. A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random,
replace it, and select a second sock at random. What is the probability that the first sock is blue and the second
sock is red?
18. Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II
contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that
both balls are blue?
19. Find the probability that 3 students chosen at random were all born on a Wednesday.
20. A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the
probability that she will make correct precipitation predictions 4 days in a row? Round to the nearest whole
percent.
1
. Find the probability that Shania arrives on time for
2
school for the next 5 days. Express your answer as a percent, to the nearest tenth of a percent.
21. The probability that Shania is on time for school is
22. On a 9-question true-or-false test you randomly guess at the answers. What is the probability that you get all 9
answers correct? What is the probability that you get all 9 answers wrong?
23. A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at random. One marble is
drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is white
and the second one is purple?
You select a card at random. Without replacing the card, you select a second card. Find the
probability.
M
A
T
H
E
M
A
T
I
C
S
24. P(M, then H)
25. P(T, then a vowel)
26. P(C, then T or S)
27. In how many different ways can you arrange 7 books on a shelf?
28. There are 4 children in Maria’s family. In how many ways can you list the children in all possible age orders?
29. How many permutations can be made using the letters S, T, U, D, Y, H, A, R, D?
Note: The permutations need not be distinguishable. ie treat the double D's as
separate letters.
30. How many 3-letter permutations are possible for the letters S, T, U, D, Y, H, A, R, D?
Simplify the expression.
31.
32.
33.
34.
35. In how many ways could you choose two different letters from the letters M, A, T, H?
36. In how many ways could you choose two different letters from the letters C, O, U, N, T?
37. The Burger Diner offers burgers with or without any or all of the following: catsup, lettuce, and mayonnaise.
How many different burgers can you order?
38. A panel of judges must consist of four women and three men. A list of potential judges includes six women
and five men. How many different panels could be created from this list?
Intro: Probability Test
Answer Section
SHORT ANSWER
1. ANS:
1
3
2. ANS:
4
5
3. ANS:
7
17
4. ANS:
5. ANS:
8 to 3
6. ANS:
4 to 3
7. ANS:
3 to 1
8. ANS:
9.
ANS:
10. ANS:
50 choices
11. ANS:
7 choices for first color, 6 for next etc.... 7x6x4x3x2 = 1008
1,008 ways
12. ANS:
20 pairs;
13. ANS:
1
2
14. ANS:
1
100,000,000
15. ANS:
1
1,296
16. ANS:
17. ANS:
3
25
18. ANS:
3
20
19. ANS:
1
343
20. ANS:
about 52%
21. ANS:
3.1%
22. ANS:
1
1
;
512 512
23. ANS:
7
26
24. ANS:
25. ANS:
26. ANS:
27. ANS:
5,040 ways
28. ANS:
24 ways
29. ANS:
362,880 permutations
30. ANS:
504 permutations
31. ANS:
120
32. ANS:
95,040
33. ANS:
10
34. ANS:
153
35. ANS:
6 ways
36. ANS:
10 ways
37. ANS:
8 burgers
38. ANS:
150 panels