From a standard deck of 52 playing cards, in how many ways can you draw...
(a) a Heart or Spade?
(b) a card numbered 2 through 10?
(c) an Ace or King?
(d) 5 cards in a particular order? (NOTE: Order is not typically relevant in any "Draw
Poker" game, where players receive all their initial cards before any betting (beyond an
ante) takes place. In other types of poker games, order can matter a lot. All remaining
problems below pertain to (5-card) Draw Poker hands.)
(e) any 5-card hand? (For clarification, this is asking: In how many ways can you draw five
cards from the deck without replacement, where order doesn't matter?)
(f) a (5-card) "four-of-a-kind?" (A "four-of-a-kind" hand is where exactly four of the cards
have the same numerical/face value, with any other card as the fifth, e.g. 33339.)
(g) a (5-card) "full house?" (A "full house" hand is where exactly a set of three cards have
the same numerical/face values, and the remaining pair of cards also have the same nu-
merical/face values, e.g., a QQQ22.)
(h) a (5-card) "three-of-a-kind?" (A "three-of-a-kind" hand is where exactly three of the cards
have the same numerical/face value, with the other two cards being distinct from both
the first three and each other, e.g, QQQ24.)
