A joint probability is expressed symbolically as:
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A. B. C. D.C
A joint probability takes the form of P(AB), the probability that a an event A and an event B will both happen.
A joint probability refers to the probability of two events occurring simultaneously. In other words, it is the probability that both event A and event B happen at the same time.
Out of the options provided:
A. P(A | B) represents the conditional probability of event A occurring given that event B has already occurred. It is not a joint probability.
B. P(B | AB) represents the conditional probability of event B occurring given that both event A and event B have already occurred. It is not a joint probability.
C. P(AB) represents the joint probability of both event A and event B occurring simultaneously. This is the correct representation of a joint probability. Option C is the correct answer.
D. P(A or B) represents the probability of either event A or event B occurring. It is not a joint probability but rather a probability of a union of events.
Therefore, the correct answer is C. P(AB) represents the joint probability of events A and B occurring simultaneously.