Suppose that E and F are two events P(E and F)=0.1 and P(E)=0.5. what is P(F/E)?
Do you mean P(F|E), the conditional probability that F happens given that E has happened?
P(F|E)=P(E∩F)/P(E)=0.1/0.5=0.2
To find P(F/E), we can use the formula for conditional probability:
P(F/E) = P(E and F) / P(E)
We are given that P(E and F) = 0.1 and P(E) = 0.5. We can substitute these values into the formula:
P(F/E) = 0.1 / 0.5
To calculate the result, we divide 0.1 by 0.5:
P(F/E) = 0.1 / 0.5 = 0.2
Therefore, P(F/E) is equal to 0.2, or 20%.