A box consists of some balls, of which 2 are red, 2 are blue and others are green. Randomly draw 2 balls from the box without replacement. The probability of getting 1 green ball is 8/15 . What's the number of green balls in this box such that the total number of balls is smallest?

Suppose there are 2 green balls in the box. Each time we draw 4 balls from this box randomly with replacement and call this a set of draws. Repeat this until in a single set of draws, you get at least one ball from each different color. What is the expected number of drawings?

Suppose there are 4n4 green balls and you draw one ball each time with replace- ment for n times. What's the distribution of the total number of red balls drawn? If n goes to infinity, what the distribution would that be?