A game consists of throwing tennis balls into a bucket from a given distance. The probability that William will get the tennis ball in the bucket is 0.4. A turn consists of three attempts.

(a) Construct the probability distribution for X, the number of tennis balls that land in the bucket in a turn.

(b) William wins a prize if, at the end of hist turn, there are two or more tennis balls in the bucket. What is the probability that William does not win a prize?