WGU C955 Applied Probability and Statistics
Test Bank (New 2023/2024 Update) | All Modules
Covered | Grade A+ | Questions and Verified
Answers | 100% Correct
QUESTION 1
If a six-sided die is rolled 3 times, how many possible outcomes are there?
a. 6
b. 18
c. 36
d. 216
Answer: d. 216
Rationale: Each roll has 6 possible outcomes. For 3 rolls, the total number of
outcomes is 63 = 6 × 6 × 6 = 216. The multiplication principle applies because
the rolls are independent.
QUESTION 2
If a couple has three children, how many different ways are there to order a series
of boys and girls (assuming that birth order matters)?
a. 32
b. 33
,c. 23
d. 22
Answer: c. 23
Rationale: For each child there are 2 possibilities (B or G). With 3 children, the
total number of birth order sequences is 2 × 2 × 2 = 23 = 8. The sequences are:
BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG.
QUESTION 3
Lindsey has 8 pairs of shoes. Every day, Monday through Friday, Lindsey chooses
a pair of shoes at random. How many possible combinations of pairs of shoes
could Lindsey wear to work this week?
Answer: 85
Rationale: For each of the 5 days, Lindsey has 8 independent choices. By the
multiplication principle, total combinations = 8 × 8 × 8 × 8 × 8 = 85 .
QUESTION 4
A 6-sided die is rolled 5 times. How many possible combinations of outcomes are
there after the 5 rolls?
Answer: 65
Rationale: Each roll yields 6 outcomes, and rolls are independent. Therefore total
outcomes = 6 × 6 × 6 × 6 × 6 = 65 .
,QUESTION 5
This expression reads "six raised to the twelfth."
Answer: 612
Rationale: "Six raised to the twelfth" means the base 6 with exponent 12, written
as 612 .
QUESTION 6
Joe has 5 shirts, 5 jackets, 5 hats, and 5 pairs of pants. How many different outfit
combinations does Joe have all together?
Answer: 54
Rationale: He chooses one shirt (5 ways), one jacket (5), one hat (5), one pair of
pants (5). Total = 5 × 5 × 5 × 5 = 54 = 625.
QUESTION 7
True or False? In the expression 3 + 5 × 7, the 5 × 7 operation should be done
first according to PEMDAS.
a. True
b. False
Answer: a. True
Rationale: PEMDAS states that multiplication is performed before addition.
Therefore 5 × 7 is evaluated first, then added to 3.
, QUESTION 8
True or False? In the expression 5 + (5 ⋅ 5)3, the multiplication should be done
within the parentheses before evaluating the exponent.
a. True
b. False
Answer: a. True
Rationale: Parentheses have the highest precedence. Inside the parentheses, 5 ⋅
5 = 25 is computed first. Then the exponent is applied: 253 . Without parentheses,
the exponent would apply only to the 5, giving 5 + 5 ⋅ 125, which is different.
QUESTION 9
Which operation should be performed first in the following expression: 5 + 62 −
16 ÷ 4?
a. Addition
b. Exponent
c. Subtraction
d. Division
Answer: b. Exponent
Rationale: According to order of operations (PEMDAS), exponents are evaluated
before addition, subtraction, multiplication, or division (when no parentheses
group differently). Here 62 = 36 is the first step.
QUESTION 10
Test Bank (New 2023/2024 Update) | All Modules
Covered | Grade A+ | Questions and Verified
Answers | 100% Correct
QUESTION 1
If a six-sided die is rolled 3 times, how many possible outcomes are there?
a. 6
b. 18
c. 36
d. 216
Answer: d. 216
Rationale: Each roll has 6 possible outcomes. For 3 rolls, the total number of
outcomes is 63 = 6 × 6 × 6 = 216. The multiplication principle applies because
the rolls are independent.
QUESTION 2
If a couple has three children, how many different ways are there to order a series
of boys and girls (assuming that birth order matters)?
a. 32
b. 33
,c. 23
d. 22
Answer: c. 23
Rationale: For each child there are 2 possibilities (B or G). With 3 children, the
total number of birth order sequences is 2 × 2 × 2 = 23 = 8. The sequences are:
BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG.
QUESTION 3
Lindsey has 8 pairs of shoes. Every day, Monday through Friday, Lindsey chooses
a pair of shoes at random. How many possible combinations of pairs of shoes
could Lindsey wear to work this week?
Answer: 85
Rationale: For each of the 5 days, Lindsey has 8 independent choices. By the
multiplication principle, total combinations = 8 × 8 × 8 × 8 × 8 = 85 .
QUESTION 4
A 6-sided die is rolled 5 times. How many possible combinations of outcomes are
there after the 5 rolls?
Answer: 65
Rationale: Each roll yields 6 outcomes, and rolls are independent. Therefore total
outcomes = 6 × 6 × 6 × 6 × 6 = 65 .
,QUESTION 5
This expression reads "six raised to the twelfth."
Answer: 612
Rationale: "Six raised to the twelfth" means the base 6 with exponent 12, written
as 612 .
QUESTION 6
Joe has 5 shirts, 5 jackets, 5 hats, and 5 pairs of pants. How many different outfit
combinations does Joe have all together?
Answer: 54
Rationale: He chooses one shirt (5 ways), one jacket (5), one hat (5), one pair of
pants (5). Total = 5 × 5 × 5 × 5 = 54 = 625.
QUESTION 7
True or False? In the expression 3 + 5 × 7, the 5 × 7 operation should be done
first according to PEMDAS.
a. True
b. False
Answer: a. True
Rationale: PEMDAS states that multiplication is performed before addition.
Therefore 5 × 7 is evaluated first, then added to 3.
, QUESTION 8
True or False? In the expression 5 + (5 ⋅ 5)3, the multiplication should be done
within the parentheses before evaluating the exponent.
a. True
b. False
Answer: a. True
Rationale: Parentheses have the highest precedence. Inside the parentheses, 5 ⋅
5 = 25 is computed first. Then the exponent is applied: 253 . Without parentheses,
the exponent would apply only to the 5, giving 5 + 5 ⋅ 125, which is different.
QUESTION 9
Which operation should be performed first in the following expression: 5 + 62 −
16 ÷ 4?
a. Addition
b. Exponent
c. Subtraction
d. Division
Answer: b. Exponent
Rationale: According to order of operations (PEMDAS), exponents are evaluated
before addition, subtraction, multiplication, or division (when no parentheses
group differently). Here 62 = 36 is the first step.
QUESTION 10
