A box contains 4 blue balls and 2 red balls. Two balls are drawn at random in succession (i.e. one by one as usual) without replacement (i.e. without putting back to the box). Let X be the number of the blue ball(s) drawn, find

(a)P(X = 0), P(X = 1), P(X = 2), P(X 1) and P(X 2)

(b) E[X] and V ar(X)

(c) Let f(x) = P(X = x). Plot the graph of y = f(x)