Can you help me with the problems below.
1. In an election , candidate A receives n votes and candidate B receives m votes, where n>m. Assuming that all of the ((n+m)!) / n!*m! orderings of votes are equally likely. Let Pn,m denote the probability that A is always ahead in the counting of the votes.
1. Compute P2,1 , P3,2 , P5,4 , Pn,2
2. In a certain species of rats, black dominates over brown. Suppose that a black rat with two black parents has a brown sibling.
a) What is the probaility that this rat is a pure black rat (as opposed to being hybrid with one black and one brown gene)
b) Suppose that when the black rat is mated with a brown rat, all five of their offspring are black. Now what is the probability that the rat is a pure black rat.
thank you in anticipation