PRC-2 · Chapter 11 · Question 45 of 60
What is the mathematical sum of the probabilities of all mutually exclusive and exhaustive events in a given sample space?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 1.0
Explanation
A fundamental axiom of modern probability theory dictates that the sum of the probabilities of all possible, non-overlapping outcomes in an exhaustive sample space must exactly equal 1.0 (or 100%).
More Probability Concepts MCQs
- Q47If two events, A and B, are defined as 'mutually exclusive', what is the probability of both events occurring simultaneously P(A ∩ B)?
- Q48The 'Complementary Rule' in probability theory states that the probability of an event NOT occurring [P(A')] is equal to:
- Q49If two events are 'independent', the probability of both occurring P(A ∩ B) is calculated using the Multiplication Rule as:
- Q50In a standard Normal Distribution, exactly what percentage of the data observations fall within ±1 standard deviation of the mean?
- Q51A 'Standard Normal Distribution' (Z-distribution) is uniquely defined as having which specific mean and standard deviation?