What is a compound event in probability and how do you find its probability?
Title: What is a Compound Event in Probability and How Do You Find Its Probability?
In probability, a compound event is the occurrence of two or more simple events. To find the probability of a compound event, you can use the formula:
[ P(A \cap B) = P(A) \times P(B | A) ]
Where (P(A \cap B)) is the probability of both event A and event B happening, (P(A)) is the probability of event A, and (P(B | A)) is the probability of event B occurring given that event A has already occurred. By understanding the relationships between simple events, you can calculate the probability of compound events more accurately.