If P(F)=0.3, P(E or F) =.65 and P(E and F)=.15, find P(E)

To find the probability of event E, you can use the formula for the probability of the union of two events:

P(E or F) = P(E) + P(F) - P(E and F)

Given that P(E or F) = 0.65 and P(E and F) = 0.15, you can substitute these values into the formula:

0.65 = P(E) + 0.3 - 0.15

Now, solve for P(E):

P(E) = 0.65 - 0.3 + 0.15

P(E) = 0.5

Therefore, the probability of event E is 0.5 or 50%.