Why the probability of picking any ball numbered (1 to 4) in ONE draw
out of a box containing 37 balls which is (4/37)= (0.108108), DOES NOT equal to the probability of picking any ball numbered (1-2) at LEAST once[with replacement] out of the same box of 37 balls in TWO draws which is [1-(35/37)x(35/37)]=( 0.106975)???
I mean In the first case we are talking about picking a ball from 4 balls. In the second case, even though we HALVED the number of balls to choose out of from (4 to 2) we DOUBLED the number of draws, should it that make both probabilities EQUAL??? Any MATHEMATICAL explaination!!!!!!!