In a recent season, hockey player Evgeni Malkin scored 27 goals in 57 games he played. Assume that his goal production stayed at that level for the next season. Find the probability that he would get his first goal

(a) in the first game of the season,

(b) in the second game of the season,

(c) within the first three games of the season, and

(d) not within the first three games of the season.

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.