A team has won 17 championships over the past 68 years. Thus, it may seem reasonable to assume that in a given year, the team wins the title with probability p=0.25, independent of any other year.
(a) What would be the probability of the team winning 8 straight championship, beginning in 1959 to 2014?
(b) What would be the probability of the team winning the title 10 out of 11 years, starting in 1959?