A set of billiard balls consists of 16 balls: 1 cue ball, 15 balls numbered 1 to 15 respectively. Balls from 1 to 8 are labeled solids. Those from 9 to 15 are labeled stripes. Three sets of these have been placed in a box. Balls are drawn without replacement. (Questions are independent of each other) (4 pts. each)

a) If three balls are drawn from the box, what is the probability that all three balls are identical?

b) If four balls are drawn from the box, what is the probability that three of them are stripes?

c) If two balls arc drawn, what is the probability that their sum is 28?

d) Stripes balls have been taken out of the box. If seven balls are drawn, what is the probability that two of them are 3s, three of them 2s, and two of them are cue halls?

e) All odd-numbered balls are taken out of the box. If four balls are drawn, what is the probability that at least three of them are divisible by four?