Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

The probability of an event E given that event F has occurred, denoted P(E|F), is defined as:
Options
A P(E ∩ F) × P(F)
B P(F) / P(E ∩ F)
C P(E ∩ F) / P(F), for P(F) > 0
Correct Answer
D P(E) + P(F) - P(E ∩ F)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 15 provides the definition: 'P(E|F) = P(EF) / P(F), for P(F) > 0'.

Hint

The probability of both events happening relative to the probability of the condition.

Question Info