Question Detail

STA 112 Quantifying Uncertainty Objective Question

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The Additivity for Disjoint Events axiom states that if events E₁, E₂, ... are mutually exclusive, then:

A P(∪n=1∞ En) = ∏n=1∞ P(En)

B P(∪n=1∞ En) = Σn=1∞ P(En)

Correct Answer

C P(En) = 1 for all n

D P(En | Em) = P(En) for n ≠ m

Option B is the correct answer.

Slide 7 explicitly shows: P(∪n=1∞ En) = Σn=1∞ P(En) for mutually exclusive events.

Think about how probabilities combine when events cannot overlap.

Course: STA 112

Topic: Quantifying Uncertainty

Type: Objective

Difficulty: Not specified