Math/ Probability help PLEASE!?

In the game of Poker, players are dealt 5 cards from a standard deck of 52 cards. Some poker hands are harder to get than others, and the harder it is to get a hand, the better that hand is. Below are the winning Poker hands in order from best (hardest to get) to worst (easiest to get).

Calculate the probability of being dealt each hand.

1. The most difficult Poker hand to get is a royal flush. A Royal Flush is an Ace, King, Queen, Jack and 10 all of the same suit.

2. A Straight Flush is any 5 consecutive cards of the same suit (that is not a Royal Flush). Ace can be used before the 2.

3. Four-of-a-kind is four of the same number or face card, plus any other card.

4. A Full House is three of one kind, plus two of another kind.

5. A Flush is any five cards of the same suit, but not all consecutive. (Remember, if they are consecutive, then it is a straight flush.)

6. A Straight is any five consecutive cards, but not all the same suit.

7. Three-of-a-kind is three of the same number or face card, plus two different cards.

8. Two pair is two pairs of two different numbers or face cards, plus one other card.

9. Two-of-a-kind is any pair of the same number or face card, with three other cards that do not match.

10. Bust is when the cards do not match any of the above categories.

Your Task: Find the number of ways any 5 cards can be selected from a deck of 52 cards. Then find the number of ways you can get each Poker hand. Finally, find the probability that a player will get each Poker hand.

1 Answer

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  • 1 decade ago
    Best Answer

    Hi

    in the game of Poker, players are dealt 5 cards from a standard deck of 52 cards. Some poker hands are harder to get than others, and the harder it is to get a hand, the better that hand is. Below are the winning Poker hands in order from best (hardest to get) to worst (easiest to get).

    Calculate the probability of being dealt each hand.

    1. The most difficult Poker hand to get is a royal flush. A Royal Flush is an Ace, King, Queen, Jack and 10 all of the same suit.

    2. A Straight Flush is any 5 consecutive cards of the same suit (that is not a Royal Flush). Ace can be used before the 2.

    3. Four-of-a-kind is four of the same number or face card, plus any other card.

    4. A Full House is three of one kind, plus two of another kind.

    5. A Flush is any five cards of the same suit, but not all consecutive. (Remember, if they are consecutive, then it is a straight flush.)

    6. A Straight is any five consecutive cards, but not all the same suit.

    7. Three-of-a-kind is three of the same number or face card, plus two different cards.

    8. Two pair is two pairs of two different numbers or face cards, plus one other card.

    9. Two-of-a-kind is any pair of the same number or face card, with three other cards that do not match.

    10. Bust is when the cards do not match any of the above categories.

    Your Task: Find the number of ways any 5 cards can be selected from a deck of 52 cards. Then find the number of ways you can get each Poker hand. Finally, find the probability that a player will get each Poker hand.

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