Hi can anyone help me understand the concept and tell me the process you have to do to get the answer. I already know the answer but i just dont get how it is.

Question:A paper clip holder has 100 paper clips:30 red, 20 yellow, 25 green, 15 pink, and 10 black.Five clips are randomly drawn without replacement. What it the probability that all five clips are all black or all red?

Answer:142,758/75,287,520=103/54,320=0.19%