Respuesta :
P(A)=x
P(B)=y
If the two events are independent:
P(A|B)=P(A)→P(A|B)=x
P(B|A)=P(B)→P(B|A)=y
Answer: First option P(A|B)=x
P(B)=y
If the two events are independent:
P(A|B)=P(A)→P(A|B)=x
P(B|A)=P(B)→P(B|A)=y
Answer: First option P(A|B)=x
Answer: The correct option is (A) P(A\B) = x.
Step-by-step explanation: Given that the probability of event A is x, and the probability of event B is y.
We are to select the correct condition that must be true if the two events A and B are independent.
According to the given information, we have
P(A) = x and P(B) = y.
We know that if two events A and B are independent, then
P(A\B) = P(A) and P(B\A) = P(B).
Therefore,
P(A\B) = P(A) = x,
⇒ P(A\B) = x.
Thus, option (A) is correct.
