Question

The boston celtics have won 16 nba championships over approximately 50 years. Thus it may seem reasonable to assume that in a given year the celtics win the title with probability p = 16/50 = 0.32, independent of any other year. Given such a model, what would be the probability of the celtics winning eight straight championships beginning in 1959?

Answer 1

We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32

For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.

Therefore, the required probability is:

$0.32^{8}=0.0001099511627776$

Therefore, the required probability is almost 0.00011.