Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

According to the document's 'Critical Warning' on Slide 18, what is the key difference between events being disjoint and events being independent?
Options
A Disjoint events occur together, while independent events do not affect each other's probability.
B Independent events are always disjoint, but disjoint events are not necessarily independent.
C Disjoint events cannot occur together, making them highly dependent; independent events mean knowing one happened tells you nothing about the other.
Correct Answer
D Both terms mean the same thing, indicating that events have no relationship.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 18 explicitly states: 'Disjoint (EF = ∅) and Independent are totally different! If E and F are disjoint, they are highly dependent. If one happens, the probability of the other becomes ZERO. Independence means knowing one happened tells you nothing about the other.' This highlights the crucial distinction.

Hint

Think about what happens to the probability of one event if you know the other event, for both disjoint and independent cases.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 45 of 112
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