# Buy Basic Probability Concepts Essay

1. Two cards are drawn at random, successively without replacement,
from a well-shuffled standard deck of 52 playing cards. Determine the
number of outcomes in the sample space of this experiment.
(A) 104
(B) 2,601
(C) 2,652
(D) 2,704
2. A fair coin is flipped six times, and the up face on each coin is
observed. Determine the number of outcomes in the sample space of
this experiment.
(A) 2
(B) 12
(C) 36
(D) 64
3. Find the probability that a number greater than 4 appears on the up
face in a single toss of a fair six-sided die.
(A) 1
6
(B) 1
3
(C) 1
2
(D) 2
3
Chapter 7
501 ❯ McGraw-Hill’s 500 Statistics Questions
4. Find the probability that a prime or an even number appears on the up
face in a single toss of a fair six-sided die.
(A) 1
3
(B) 2
3
(C) 5
6
(D) 1

5. Find the probability that a seven appears on the up face in a single toss of a
fair six-sided die.
(A) 0
(B) 1
6
(C) 1
(D) 7
6

6. Find the probability that at least one head appears when two fair coins are
flipped and the up face on each is observed.
(A) 1
4
(B) 1
2
(C) 3
4
(D) 1
7. Find the probability that the number of dots on the up faces sum to 7 when
a pair of fair six-sided dice is tossed and the up face on each is observed.
(A) 1
12
(B) 1
6
(C) 1
4
(D) 7
36
Basic Probability Concepts ❮ 51

8. Find the probability of drawing a face card when a single card is drawn at
random from a well-shuffled standard deck of 52 playing cards.
(A) 1
12
(B) 3
13
(C) 4
13
(D) 1
4

9. Find the probability of drawing a diamond or a 10 when a single card is
drawn at random from a well-shuffled standard deck of 52 playing cards.
(A) 1
13
(B) 7
26
(C) 4
13
(D) 6
13

10. Find the probability of drawing a black or red marble when a single marble
is drawn at random from an urn containing 7 black marbles, 6 green
marbles, and 10 red marbles. (Assume the marbles are identical except for
color.)
(A) 7
23
(B) 10
23
(C) 13
23
(D) 17
23
523 ❯ McGraw-Hill’s 500 Statistics Questions

11. A quiz consists of five multiple-choice questions, each of which has four
possible answer choices (A, B, C, and D), one of which is correct. Suppose
that an unprepared student does not read the questions but simply makes
a random guess for each question. What is the probability that the student
will get all five questions wrong?
(A) 0
(B) 1
1,024
(C) 243
1,024
(D) − 

 
 5 1 
1
4
12. A box contains 30 identical-looking items, of which 3 are defective. If
one item is selected at random, what is the probability that the item is
defective?
(A) 1
30
(B) 1
11
(C) 1
10
(D) 9
10

13. Find the complement of the following event: A number greater than
four appears on the up face in a single toss of a fair six-sided die.
(A) 5
6
(B) 1
3
(C) 1
2
(D) 2
3
Basic Probability Concepts ❮ 53

14. Find the complement of the following event: A prime or an even number
appears on the up face in a single toss of a fair six-sided die.
(A) 1
3
(B) 2
3
(C) 1
6
(D) 0

15. Find the complement of the following event: drawing a black or red
marble when a single marble is drawn at random from an urn containing
7 black marbles, 6 green marbles, and 10 red marbles. (Assume the marbles
are identical except for color.)
(A) 16
23
(B) 10
23
(C) 6
23
(D) 3
23
16. Find the complement of the following event: At least one head appears
when two fair coins are flipped and the up face on each is observed.
(A) 1
4
(B) 1
2
(C) 3
4
(D) 0

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