2. Consider a bucket that contains l balls. iii} of which are purple. You randomly pick two balls. a. If you pickjust one ball, what is the probability that it is purple? b. If you randomly pick two balls where you replace the first ball before picking the second He. the drawing is 'with replacement'i, what is the probability of them both being purple? c. If you randomly pick two balls where you do n_ot replace the first ball before picking the second [i.e., the drawing is 'without replacement'}, what is the probability of them both being purple? 3. Consider a barrel that contains li} balls, EGG of which are purple. 'i'ou randomly pick two balls. a. If you pick just one ball, what is the probability that it is purple? b. If you randomly pick two balls where you replace the rst ball before picking the second {i.e., the drawing is 'with replacement'i, what is the probability of them both being purple? c. If you randomly pick two balls where you do mreplace the rst ball before picking the second [i.e., the drawing is 'without replaoernent'}, what is the probability of them both being purple