To estimate the size of a population of animals by trapping, traps are set four times in succession. Assume each animal has the same probability of being trapped, 0.5. If the number of initial animals is 100 and the trapped animals are removed, what is the probability that the 1st trapping yields 5 animals, the 2nd yields 2 animals, the 3rd 6 animals, and the 4th 2 animals?