Please I need help with this for better understanding and clarity. Thank you.

d) A die is loaded in such a way that the probability of the face with j dots turning up is proportional to j for j=1,2,3,4,5,6. In 6 independent throws of this die, what is the probability that each face turns up exactly once? [4 MARKS ] e) Suppose in a certain shipment of 250 Pentium processors there are 17 defective processors. A quality control consultant randomly collects 5 processors for inspection to determine whether or not they are defective. Let X denote the number of defectives in the sample. i. Find the probability of exactly 3 defectives in the sample, [2 MARKS] ii. Find the probability that there are at most 2 defectives in the sample [3 MARKS]