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Imagine you are playing a game of poker. In this game, each player is dealt a hand of five cards from a deck of cards. Each card has a specific value and belongs to one of four suits. The values range from to , as well as Jack, Queen, King, and Ace. The suits are spades, hearts, clubs, and diamonds.
What are the chances of getting a hand with four-of-a-kind, meaning four cards with the same value? How likely is it to have a full house, which is three cards of one value and two cards of another value? And finally, what is the probability of getting a hand with two pairs (two cards of one value, two cards of another value, and a fifth card of a third value)?
Enter the three probabilities as exact fractions, in this order: four-of-a-kind, full house, two pairs.
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