Purchases are made for both men’s and women’s suits, so that for a male suit one piece is sold, while for a female suit two pieces (top and bottom) are sold. The store has estimated that two-thirds of the swimming suits sold are for women. Let X denote the number of pieces of suits sold within an hour. Find the probabilities

(i) P(X = 0), (ii) P(X = 2), (iii) P(X = 6).