There are few things that are so unpardonably neglected in our country as poker. The upper class knows very little about it. Now and then you find ambassadors who have sort of a general knowledge of the game, but the ignorance of the people is fearful. Why, I have known clergymen, good men, kind-hearted, liberal, sincere, and all that, who did not know the meaning of a “flush.” It is enough to make one ashamed of one’s species.
Find the probabilities for the following poker hands. They are arranged in decreasing order of probability.

(a) Straight flush. (Five cards in a sequence and of the same suit.)

(b) Four of a kind. (Four cards of one face value and one other card.)

(c) Full house. (Three cards of one face value and two of another face value.)

(d) Flush. (Five cards of the same suit. Does not include a straight flush.)

(e) Straight. (Five cards in a sequence. Does not include a straight flush. Ace can be high or low.)

(f) Three of a kind. (Three cards of one face value. Does not include four of a kind or full house.)

(g) Two pair. (Does not include four of a kind or full house.)

(h) One pair. (Does not include any of the aforementioned conditions.)