A list of poker hands ranked in order from the highest to the lowest is shown in

Question

A list of poker hands ranked in order from the highest to the lowest is shown in the following table, along with a description and example of each hand.

Use the table to answer the question. If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different hands consist of the following:

One pair?

Hand Description Example A 23 4 5 Straight flush 5 cards in sequence in the same suit Four of a kind 4 cards of the same rank and any other card Full house 3 of a kind and a pair Flush 5 cards of the same suit that are not all in sequence 5 cards in sequence but not all of the same suit Straight Three of a kind TwO pair 3 cards of the same rank and 2 unmatched cards 2 cards of the same rank and 2 cards of any other rank with an unmatched card One pair 2 cards of the same rank and 3 unmatched cards

Explanation / Answer

There are 13 ranks to choose from for the pair and combin(4,2) = 6 ways to arrange the two cards in the pair. There are combin(12,3) = 220 ways to arrange the other three ranks of the singletons, and four cards to choose from in each rank. Thus there are 13 * 6 * 220 * 43 = 1,098,240 ways to arrange a pair.

henece answer =

1,098,240

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.