Question

Which two statements about conditional probability are true?

Answer options with 6 options
A.
Conditional probability, P left-parenthesis A right-parenthesis, is the probability that event A will occur.

B.
Conditional probability, P left-parenthesis A vertical bar B right-parenthesis, is the probability that both event A and event B will occur.

C.
Conditional probability, P leftt-parenthesis A vertical bar B right-parenthesis, is the probability of event A occurring given that event B has occurred.

D.
The probability that it is raining outside is an example of conditional probability.

E.
The probability that it is both raining and cloudy outside is an example of conditional probability.

F.
The probability that it is raining if we already know it is cloudy outside is an example of conditional probability.

Answer 1

Correct answers: C and F.

- C is the definition: P(A|B) = probability of A given B.
- F is an example of conditional probability (raining given that it is cloudy).

(A and D are unconditional probabilities; B and E describe joint probabilities.)