Module 3 Exam | Statistics Module 3 Exam Answered & Graded A+ | Latest 2026/2027 | -
Portage Learning 2026/2027 2026/2027 Official Exam
OBJECTIVE ASSESSMENT - EXAM
Module 3 Exam | Statistics Module 3 Exam Answered &
Graded A+ | Latest 2026/2027 | Portage Learning
2026/2027 - 2026/2027 Official Exam
50 100%
QUESTIONS VERIFIED ANSWERS EDITION
TOPICS COVERED
Probability & Counting Rules Expected Value & Variance
Conditional Probability Binomial Distribution
Random Variables
COVER PAGE - 1
,SECTION 1 | Probability & Counting Rules | Q1-Q11 | Module 3 Exam | Statistics Module 3 Exam
Answered & Graded A+ | Latest 2026/2027 | Portage Learning 2026/2027 - 2026/2027 Official Exam
2026/2027
Q1 Question 1 of 50
Q1. A clinical researcher assigns a single fair six-sided die to determine which of six treatment arms
each new enrollee enters, and she wants to know the chance of selecting arm 4. What is the probability
of rolling a 4 on a single fair die?
A. 1/6, because there are six equally likely outcomes
B. 1/4, because four is one of the middle values
C. 1/2, because the die is fair
D. 1/3, because half the faces are even
Correct Answer: A
Rationale:
A fair die has six equally likely outcomes, so P(4) = 1/6. Option B misinterprets the value's position, option C confuses
fairness with a 50% chance, and option D incorrectly counts even faces as half of three.
Q2 Question 2 of 50
Q2. A pharmacist draws one card from a standard 52-card deck to demonstrate probability to interns.
What is the probability of drawing a king?
A. 1/52, because only one king exists
B. 4/52, because there are four kings in the deck
C. 1/13, because there are thirteen ranks
D. 13/52, because each suit has thirteen cards
Correct Answer: B
Rationale:
There are four kings (one per suit) out of 52 cards, so P(king) = 4/52, which simplifies to 1/13. Option A ignores the four
suits, option C is the simplified form not the raw count requested, and option D describes any single suit, not a king.
Module 3 Exam | Statistics Module 3 Exam Answered & Graded A+ | Latest 2026/2027 | Portage Learning 2026/2027 - 2026/2027 Official Exam - 2026/2027 | Passing Score: 80% | Page 2 of 25
, Q3 Question 3 of 50
Q3. A genetics counselor tells a couple that each child independently has a 1/4 chance of inheriting a
recessive condition, and the couple plans to have two children. What is the probability that both
children inherit the condition?
A. 1/16, because probabilities add
B. 1/8, because outcomes are mutually exclusive
C. 1/4, because outcomes are dependent
D. 1/16, because probabilities multiply
Correct Answer: D
Rationale:
Independent probabilities multiply, so (1/4) x (1/4) = 1/16. Option A gives the correct numeric result but the wrong
justification (addition), option B is incorrect because the events are not mutually exclusive, and option C wrongly assumes
dependence.
Q4 Question 4 of 50
Q4. A hospital admissions board reviews a single day's emergency visits and finds that 30% involve
trauma and 20% involve cardiac events, with no overlap between the two categories. What is the
probability that a randomly selected visit is either trauma or cardiac?
A. 0.50, because mutually exclusive probabilities add
B. 0.06, because probabilities multiply
C. 0.10, because the smaller is subtracted
D. 0.30, because only the larger counts
Correct Answer: A
Rationale:
Mutually exclusive events have no overlap, so P(A or B) = P(A) + P(B) = 0.30 + 0.20 = 0.50. Option B multiplies instead of
adds, option C subtracts incorrectly, and option D ignores the cardiac category.
Module 3 Exam | Statistics Module 3 Exam Answered & Graded A+ | Latest 2026/2027 | Portage Learning 2026/2027 - 2026/2027 Official Exam - 2026/2027 | Passing Score: 80% | Page 3 of 25
Portage Learning 2026/2027 2026/2027 Official Exam
OBJECTIVE ASSESSMENT - EXAM
Module 3 Exam | Statistics Module 3 Exam Answered &
Graded A+ | Latest 2026/2027 | Portage Learning
2026/2027 - 2026/2027 Official Exam
50 100%
QUESTIONS VERIFIED ANSWERS EDITION
TOPICS COVERED
Probability & Counting Rules Expected Value & Variance
Conditional Probability Binomial Distribution
Random Variables
COVER PAGE - 1
,SECTION 1 | Probability & Counting Rules | Q1-Q11 | Module 3 Exam | Statistics Module 3 Exam
Answered & Graded A+ | Latest 2026/2027 | Portage Learning 2026/2027 - 2026/2027 Official Exam
2026/2027
Q1 Question 1 of 50
Q1. A clinical researcher assigns a single fair six-sided die to determine which of six treatment arms
each new enrollee enters, and she wants to know the chance of selecting arm 4. What is the probability
of rolling a 4 on a single fair die?
A. 1/6, because there are six equally likely outcomes
B. 1/4, because four is one of the middle values
C. 1/2, because the die is fair
D. 1/3, because half the faces are even
Correct Answer: A
Rationale:
A fair die has six equally likely outcomes, so P(4) = 1/6. Option B misinterprets the value's position, option C confuses
fairness with a 50% chance, and option D incorrectly counts even faces as half of three.
Q2 Question 2 of 50
Q2. A pharmacist draws one card from a standard 52-card deck to demonstrate probability to interns.
What is the probability of drawing a king?
A. 1/52, because only one king exists
B. 4/52, because there are four kings in the deck
C. 1/13, because there are thirteen ranks
D. 13/52, because each suit has thirteen cards
Correct Answer: B
Rationale:
There are four kings (one per suit) out of 52 cards, so P(king) = 4/52, which simplifies to 1/13. Option A ignores the four
suits, option C is the simplified form not the raw count requested, and option D describes any single suit, not a king.
Module 3 Exam | Statistics Module 3 Exam Answered & Graded A+ | Latest 2026/2027 | Portage Learning 2026/2027 - 2026/2027 Official Exam - 2026/2027 | Passing Score: 80% | Page 2 of 25
, Q3 Question 3 of 50
Q3. A genetics counselor tells a couple that each child independently has a 1/4 chance of inheriting a
recessive condition, and the couple plans to have two children. What is the probability that both
children inherit the condition?
A. 1/16, because probabilities add
B. 1/8, because outcomes are mutually exclusive
C. 1/4, because outcomes are dependent
D. 1/16, because probabilities multiply
Correct Answer: D
Rationale:
Independent probabilities multiply, so (1/4) x (1/4) = 1/16. Option A gives the correct numeric result but the wrong
justification (addition), option B is incorrect because the events are not mutually exclusive, and option C wrongly assumes
dependence.
Q4 Question 4 of 50
Q4. A hospital admissions board reviews a single day's emergency visits and finds that 30% involve
trauma and 20% involve cardiac events, with no overlap between the two categories. What is the
probability that a randomly selected visit is either trauma or cardiac?
A. 0.50, because mutually exclusive probabilities add
B. 0.06, because probabilities multiply
C. 0.10, because the smaller is subtracted
D. 0.30, because only the larger counts
Correct Answer: A
Rationale:
Mutually exclusive events have no overlap, so P(A or B) = P(A) + P(B) = 0.30 + 0.20 = 0.50. Option B multiplies instead of
adds, option C subtracts incorrectly, and option D ignores the cardiac category.
Module 3 Exam | Statistics Module 3 Exam Answered & Graded A+ | Latest 2026/2027 | Portage Learning 2026/2027 - 2026/2027 Official Exam - 2026/2027 | Passing Score: 80% | Page 3 of 25
