Aand b are independent events p(a) = .50 p(b)=.20 what is p(a/b)

P(a|b) = 1/2

Step-by-step explanation:

* Lets study the meaning independent probability  

- Two events are independent if the result of the second event is not

  affected by the result of the first event

- If A and B are independent events, the probability of both events  

is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)  ⇒ P (A ∩ B) = P(A) · P(B)

- If A and B are two events, then the conditional probability of A

 given B is defined as P(A|B) = P(A∩B)/P(B)

* Lets solve the problem

∵ P(a) = 0.50

∵ P(b) = 0.20

∵ a and b are independent events

∴ P (a ∩ b) = P(a) · P(b)

∴ P (a ∩ b) = 0.50 × 0.20 = 0.10

∵ P(a|b) = P(a∩b)/P(b)

∴ P(a|b) = 0.10/0.20 = 1/2

* P(a|b) = 1/2

the answer is 1/4

step-by-step explanation: