WGU C955 Applied Probability and Statistics Final Exam
Actual Questions with Verified Answers Plus
Rationales Grade A+ Guarantee
Question 1: What is the probability of drawing a red card from a standard deck of 52 playing cards?
A) 1/4
B) 1/3
C) 1/2
D) 2/3
Answer: C) 1/2
In a standard deck, there are 26 red cards (hearts and diamonds) out of 52 total cards. Therefore, the probability
is 26/52 = 1/2.
Question 2: A coin is flipped 4 times. How many different outcomes are possible?
A) 8
B) 16
C) 32
D) 64
Answer: B) 16
The base is 2 (the number of outcomes per flip) and the exponent is 4 (the number of flips). 2⁴ = 2 × 2 × 2 × 2 =
16.
Question 3: Which of the following best describes discrete data?
A) Has values within a range, measured not counted
B) Has distinct values, can be counted, has unconnected points
C) Has no gaps between data points
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,D) Is always represented by a connected line
Answer: B) Has distinct values, can be counted, has unconnected points
Discrete data has distinct, separate values that can be counted (like days of the week or number of students).
There are gaps between possible values.
Question 4: Which of the following is an example of continuous data?
A) Days of the week
B) Number of students in a class
C) Height of students in inches
D) Shoe sizes
Answer: C) Height of students in inches
Continuous data has values within a range, is measured rather than counted, and has no gaps between data
points. Height can be any value within a range (e.g., 65.3 inches, 65.32 inches).
Question 5: What is 3/4 divided by 2/3?
A) 9/8
B) 5/12
C) 5/7
D) 6/7
Answer: A) 9/8
To divide fractions, multiply by the reciprocal: (3/4) × (3/2) = 9/8.
Question 6: A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2 miles. What is the total length
of hiking paths?
A) 9.02 miles
B) 10.02 miles
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,C) 10.12 miles
D) 11.2 miles
Answer: B) 10.02 miles
Add the values: 1.05 + 3.6 = 4.65; 4.65 + 3.17 = 7.82; 7.82 + 2.2 = 10.02 miles.*
Question 7: What is the greatest common factor (GCF) of 60 and 80?
A) 10
B) 20
C) 30
D) 40
Answer: B) 20
The factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. The largest
number common to both is 20.
Question 8: Which number is a prime number?
A) 21
B) 22
C) 23
D) 24
Answer: C) 23
A prime number has exactly two positive factors: 1 and itself. 23 has only factors 1 and 23. 21 = 3×7, 22 = 2×11,
24 = 2×12.
Question 9: Simplify the expression: 14 - 21 + (-3)
A) -10
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, B) -4
C) 4
D) 10
Answer: A) -10
14 - 21 = -7; -7 + (-3) = -10.
Question 10: Evaluate: 10³
A) 10
B) 30
C) 300
D) 1,000
Answer: D) 1,000
10³ = 10 × 10 × 10 = 1,000.
Question 11: Which set of numbers is continuous?
A) Integers
B) Rational numbers
C) Real numbers
D) Whole numbers
Answer: C) Real numbers
The set of real numbers contains no gaps and is continuous along the number line.
Question 12: What is the probability of someone having a birthday in March or December?
A) 1/6
B) 1/4
4|P a g e SUCCESS!!!
Actual Questions with Verified Answers Plus
Rationales Grade A+ Guarantee
Question 1: What is the probability of drawing a red card from a standard deck of 52 playing cards?
A) 1/4
B) 1/3
C) 1/2
D) 2/3
Answer: C) 1/2
In a standard deck, there are 26 red cards (hearts and diamonds) out of 52 total cards. Therefore, the probability
is 26/52 = 1/2.
Question 2: A coin is flipped 4 times. How many different outcomes are possible?
A) 8
B) 16
C) 32
D) 64
Answer: B) 16
The base is 2 (the number of outcomes per flip) and the exponent is 4 (the number of flips). 2⁴ = 2 × 2 × 2 × 2 =
16.
Question 3: Which of the following best describes discrete data?
A) Has values within a range, measured not counted
B) Has distinct values, can be counted, has unconnected points
C) Has no gaps between data points
1|P a g e SUCCESS!!!
,D) Is always represented by a connected line
Answer: B) Has distinct values, can be counted, has unconnected points
Discrete data has distinct, separate values that can be counted (like days of the week or number of students).
There are gaps between possible values.
Question 4: Which of the following is an example of continuous data?
A) Days of the week
B) Number of students in a class
C) Height of students in inches
D) Shoe sizes
Answer: C) Height of students in inches
Continuous data has values within a range, is measured rather than counted, and has no gaps between data
points. Height can be any value within a range (e.g., 65.3 inches, 65.32 inches).
Question 5: What is 3/4 divided by 2/3?
A) 9/8
B) 5/12
C) 5/7
D) 6/7
Answer: A) 9/8
To divide fractions, multiply by the reciprocal: (3/4) × (3/2) = 9/8.
Question 6: A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2 miles. What is the total length
of hiking paths?
A) 9.02 miles
B) 10.02 miles
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,C) 10.12 miles
D) 11.2 miles
Answer: B) 10.02 miles
Add the values: 1.05 + 3.6 = 4.65; 4.65 + 3.17 = 7.82; 7.82 + 2.2 = 10.02 miles.*
Question 7: What is the greatest common factor (GCF) of 60 and 80?
A) 10
B) 20
C) 30
D) 40
Answer: B) 20
The factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. The largest
number common to both is 20.
Question 8: Which number is a prime number?
A) 21
B) 22
C) 23
D) 24
Answer: C) 23
A prime number has exactly two positive factors: 1 and itself. 23 has only factors 1 and 23. 21 = 3×7, 22 = 2×11,
24 = 2×12.
Question 9: Simplify the expression: 14 - 21 + (-3)
A) -10
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, B) -4
C) 4
D) 10
Answer: A) -10
14 - 21 = -7; -7 + (-3) = -10.
Question 10: Evaluate: 10³
A) 10
B) 30
C) 300
D) 1,000
Answer: D) 1,000
10³ = 10 × 10 × 10 = 1,000.
Question 11: Which set of numbers is continuous?
A) Integers
B) Rational numbers
C) Real numbers
D) Whole numbers
Answer: C) Real numbers
The set of real numbers contains no gaps and is continuous along the number line.
Question 12: What is the probability of someone having a birthday in March or December?
A) 1/6
B) 1/4
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