Question Detail

STA 112 Quantifying Uncertainty Objective Question
Take CBT

Question

What is the key difference between 'Disjoint' events and 'Independent' events?
Options
A Disjoint events have P(EF) = 0, while independent events have P(EF) = P(E)P(F).
B Disjoint events are highly dependent, while independent events mean knowing one happened tells you nothing about the other.
C If events are disjoint, they cannot be independent.
D All of the above.
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The 'Critical Warning' on Slide 18 states that disjoint events (EF = Ø) and independent events are totally different. If E and F are disjoint, they are highly dependent (if one happens, the probability of the other is ZERO). Independence means knowing one happened tells you nothing about the other. Therefore, all options A, B, and C are correct descriptions of the differences.

Hint

Consider the implications of one event happening on the probability of the other for both cases.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 26 of 112
Previous Course Details Next