# Statistics And Probability Exam! Trivia Quiz

12 Questions | Total Attempts: 95

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• 1.
Suppose a bag is filled with 8 balls, 3 white and 5 black. If balls are drawn from the bag without replacement, the probability that the second ball drawn is black, given that the first ball drawn is black, is
• A.

1/8

• B.

5/8

• C.

4/7

• D.

2/8

• E.

1/5

• 2.
Suppose a bag is filled with 8 balls, 3 white and 5 black. If balls are drawn from the bag with replacement, the probability that the second ball drawn is black is
• A.

The same as the probability that the first ball drawn is black

• B.

Greater than the probability that the second ball drawn is black

• C.

Less than the probability that the second ball drawn is black

• D.

Less than the probability that the second ball is white

• E.

Less than the probability that the first ball is white

• 3.
Suppose you draw 1 card from a deck of 52 cards and flip a coin once. The probability that you draw a heart and toss a tail is
• A.

1/4 + 1/2

• B.

1/4 x 1/2

• C.

1/52 x 1/2

• D.

1/52 + 1/2

• E.

1/4 - 1/2

• 4.
Suppose you toss a coin twice. What is the probability of tossing two heads?
• A.

1/2

• B.

1/4

• C.

1/8

• D.

1/5

• E.

1

• 5.
Suppose you toss a coin twice. What is the probability of tossing two heads, given that your first toss is ahead?
• A.

1

• B.

1/4

• C.

1/8

• D.

1/3

• E.

1/2

• 6.
Suppose you are on a vacation in Europe and would like to visit 11 cities. Unfortunately, you only have time to visit 5 of these cities. How many different combinations of 5 cities can you visit?
• A.

462

• B.

4620

• C.

888

• D.

142

• E.

352

• 7.
Suppose you draw four cards from a standard 52-card deck. What is the probability that the first card will be a club, the second a diamond, the third a heart, and the fourth a spade if the cards are drawn with replacement?
• A.

1/256

• B.

1/128

• C.

1/64

• D.

1/512

• E.

1/52

• 8.
How would your answer to Qn 7 (Suppose you draw four cards from a standard 52-card deck? What is the probability that the first card will be a club, the second a diamond, the third a heart, and the fourth a spade if the cards are drawn with replacement?) change if the cards were drawn without replacement?
• A.

(1/4) x (1/4) x (1/4) x (1/4)

• B.

(1/4) x (13/51) x (13/51) x (13/49)

• C.

(1/4) x (13/51) x (13/50) x (13/49)

• D.

(1/2) x (1/2) x (1/2) x (1/2)

• E.

(1/4) x (13/51) x (13/50) x (12/49)

• 9.
Suppose an auto dealership is interested in the types of options people purchase on cars. The records of 125 people who purchased cars were examined to see which ones purchased air conditioning and which ones purchased auto transmission. The results are given in the following table.                                                        A/C              No A/C                                                       (A)                (A) (B)Automatic                               63                 10                      73                (B)No Automatic                         25                 27                      52                                                         88                 37                     125 Find P( B | A ).
• A.

0.0816

• B.

0.671

• C.

0.513

• D.

0.176

• E.

0.716

• 10.
Suppose an auto dealership is interested in the types of options people purchase on cars. The records of 125 people who purchased cars were examined to see which ones purchased air conditioning and which ones purchased auto transmission. The results are given in the following table.                                                        A/C              No A/C                                                       (A)                (A) (B)Automatic                               63                 10                      73                (B)No Automatic                         25                 27                      52                                                         88                 37                     125 Find P( A )
• A.

88 / 125

• B.

88 / 250

• C.

37 / 125

• D.

37 / 250

• E.

37 / 88

• 11.
Suppose an auto dealership is interested in the types of options people purchase on cars. The records of 125 people who purchased cars were examined to see which ones purchased air conditioning and which ones purchased auto transmission. The results are given in the following table.                                                        A/C              No A/C                                                       (A)                (A) (B)Automatic                               63                 10                      73                (B)No Automatic                         25                 27                      52                                                         88                 37                     125 Find P( A  B )
• A.

25 / 125

• B.

10 / 125

• C.

63 / 125

• D.

27 / 125

• E.

73 / 125

• 12.
A Senate committee consists of 12 Democrats and 9 Republicans. In how many ways can a subcommittee consisting of 8 members, 5 Democrats and 3 Republicans be formed?
• A.

20790

• B.

41580

• C.

83160

• D.

27900

• E.

42580