2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 3 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering probability basics, conditional probability, and
counting techniques. Graded A+ and aligned with Portage Learning’s online curriculum, this
guide offers essential support for success in introductory statistical coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-based questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes brief explanations for key terms and concepts
Question 1
Question: What is the probability of rolling a 6 on a fair six-sided die?
A) 1/6
B) 1/4
C) 1/3
D) 1/2
A) 1/6
Explanation: Probability = favorable outcomes (1) / total outcomes (6) = 1/6.
Question 2
Question: If two events are mutually exclusive, what is the probability of both occurring?
A) 0
B) 0.5
C) 1
D) Depends on the events
A) 0
Explanation: Mutually exclusive events cannot happen together.
Question 3
Question: What is the complement of the event "rolling an even number on a die"?
A) Rolling a 1
B) Rolling an odd number
C) Rolling a 6
D) Rolling a number less than 3
, B) Rolling an odd number
Explanation: Complement is all outcomes not in the event (1, 3, 5).
Question 4
Question: What is the probability of drawing a heart from a standard deck of 52 cards?
A) 1/13
B) 1/4
C) 1/2
D) 1/52
B) 1/4
Explanation: 13 hearts / 52 cards = 1/4.
Question 5
Question: If P(A) = 0.3 and P(B) = 0.4, what is the maximum value of P(A and B)?
A) 0.3
B) 0.4
C) 0.7
D) 1
A) 0.3
Explanation: P(A and B) ≤ min(P(A), P(B)) = 0.3.
Question 6
Question: What is the addition rule for mutually exclusive events A and B?
A) P(A or B) = P(A) + P(B)
B) P(A or B) = P(A) - P(B)
C) P(A or B) = P(A) * P(B)
D) P(A or B) = 1 - P(A)
A) P(A or B) = P(A) + P(B)
Explanation: No overlap, so probabilities add directly.
Question 7
Question: How many ways can 3 books be arranged on a shelf?
A) 3
B) 6
C) 9
D) 12
B) 6
Explanation: 3! = 3 × 2 × 1 = 6.
Question 8
Question: What is the probability of drawing two aces in a row from a deck, without
replacement?
A) 1/221
B) 1/169