Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

Which of the following is the correct formula for the Complement Rule, as presented in the document?
Options
A P(E ∪ F) = P(E) + P(F)
B P(E ∩ F) = P(E)P(F)
C P(E<sup>c</sup>) = 1 - P(E)
Correct Answer
D P(E|F) = P(E &cap; F) / P(F)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 8 states the Theorem (Complement Rule) as 'P(Ec) = 1 – P(E)'.

Hint

The probability of an event *not* happening is related to the probability of it happening.

Question Info