In: Math
An urn contains n white balls and m black balls. ( m and n are both positive numbers.)
(a) If two balls are drawn without replacement , what is the probability that both balls are the same color?
(b) If two balls are drawn with replacement (i.e., One ball is drawn and it’s color recorded and then put back. Then the second ball is drawn.) What is the probability that both balls are the same color.
(c) Show that the probability in part (b) is always larger than the one in part (a)