Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

What is the critical distinction between Disjoint events and Independent events?
Options
A Disjoint events have a non-empty intersection, while independent events do not.
B If events are disjoint, knowing one happened makes the other impossible; if independent, knowing one happened tells you nothing about the other.
Correct Answer
C Disjoint events always have P(E|F) = P(E), while independent events have P(EF) = 0.
D There is no significant difference; the terms are interchangeable.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Slide 18, under 'Critical Warning', states: 'If E and F are disjoint, they are highly dependent. If one happens, the probability of the other becomes ZERO.' And 'Independence means knowing one happened tells you nothing about the other.'

Hint

Consider the impact of one event occurring on the probability of the other event for both definitions.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 41 of 112
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