What is the probability that a 5-card poker hand has the following? (a) A Royal Flush, i.e. an…

What is the probability that a 5-card poker hand has the following?

(a) A Royal Flush, i.e. an Ace, King, Queen, Jack and Ten of the same suit.

(b) A Flush, i.e. any 5 cards of the same suit.

(c) 4 aces.

(d) 4 of a kind, i.e. 4 cards of the same value, e.g. 4 Eights or 4 Queens.

(e) A Straight, i.e. a set of 5 consecutive values.

(f) A Straight that is not a Flush.

(g) The same number of hearts and diamonds.

(h) More spades than hearts.

 

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