Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

Which of the three axioms of probability (Slide 7) allows us to sum the probabilities of mutually exclusive events to find the probability of their union?
Options
A Axiom 1: Non-negativity (0 ≤ P(E) ≤ 1).
B Axiom 2: Probability of the Sample Space (P(S) = 1).
C Axiom 3: Additivity for Disjoint Events.
Correct Answer
D None of the above; this rule is a theorem derived from the axioms.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 7 explicitly states Axiom 3: 'Additivity for Disjoint Events: If E1, E2, ... are mutually exclusive, then: P(∪En) = ∑P(En)'.

Hint

Look for the axiom that specifically addresses combining probabilities of events that do not overlap.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 59 of 112
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