Question

which two statements about conditional probability are true? a conditional probability, (p(a)), is the probability that event (a) will occur. b conditional probability, (p(a|b)), is the probability that both event (a) and event (b) will occur. c conditional probability, (p(a|b)), 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.

Explanation:

Conditional probability $P(A|B)$ is the probability of event $A$ occurring given that event $B$ has occurred. An example of conditional probability is the probability of one event happening given that another event has already occurred. For instance, the probability that it is raining if we already know it is cloudy outside is a conditional - probability situation.

Answer:

C. Conditional probability, $P(A|B)$, is the probability of event $A$ occurring given that event $B$ has occurred.
F. The probability that it is raining if we already know it is cloudy outside is an example of conditional probability.