Question

In the Dark Ages, Harvard, Dartmouth, and Yale admitted only male students. Assume that, at that time, 70 percent of the sons of Harvard men went to Harvard and the rest went to Yale, 40 percent of the sons of Yale men went to Yale, and the rest split evenly between Harvard and Dartmouth; and of the sons of Dartmouth men, 70 percent went to Dartmouth, 20 percent to Harvard, and 10 percent to Yale.

1. Draw the corresponding Markov chain and find the corresponding transition matrix.

2. John was admitted in Harvard. Find the probability that the grand son of his son went to Yale

Answer 1