Question
Which of the following formulas is used to mathematically recognize and explain the conditional probability of event A, given event B?
A. P(A∣B)=
P(A)
P(A and B)
B. P(A and B)=
P(A and B)
P(A)
C. P(A and B)=P(A)⋅P(B)
D. P(A∣B)=
P(B)
P(A and B)
A. P(A∣B)=
P(A)
P(A and B)
B. P(A and B)=
P(A and B)
P(A)
C. P(A and B)=P(A)⋅P(B)
D. P(A∣B)=
P(B)
P(A and B)
Answers
GPT-4o mini
The correct formula for the conditional probability of event A given event B is:
**A.** \( P(A|B) = \frac{P(A \text{ and } B)}{P(B)} \)
This formula expresses the probability of event A occurring given that event B has occurred.
To clarify further, none of the other options provided are correct representations of conditional probability.
**A.** \( P(A|B) = \frac{P(A \text{ and } B)}{P(B)} \)
This formula expresses the probability of event A occurring given that event B has occurred.
To clarify further, none of the other options provided are correct representations of conditional probability.