how are conditional probability and independent events related? select the correct phrase or notation from…

how are conditional probability and independent events related? select the correct phrase or notation from each drop - down menu to complete the explanation. the notation choose... reads the probability of event a given that event b has occurred. if events a and b are independent, then the probability of event b occurring choose... the probability of event a occurring. events a and b are independent if choose...

how are conditional probability and independent events related? select the correct phrase or notation from each drop - down menu to complete the explanation. the notation choose... reads the probability of event a given that event b has occurred. if events a and b are independent, then the probability of event b occurring choose... the probability of event a occurring. events a and b are independent if choose...

Answer

Brief Explanations:

The notation for conditional probability of event A given event B is $P(A|B)$. For independent events A and B, the occurrence of B has no impact on the probability of A, i.e., $P(A|B)=P(A)$. Events A and B are independent if $P(A \cap B)=P(A)\times P(B)$.

Answer:

The notation $P(A|B)$ reads the probability of Event A given that Event B has occurred. If Events A and B are independent, then the probability of Event B occurring has no effect on the probability of Event A occurring. Events A and B are independent if $P(A\cap B) = P(A)\times P(B)$.