Poker Hands A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker hands of the specified type. two pairs with exactly one pair being jacks (two jacks, two of another denomination, and one of a third) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (V), diamonds (), clubs (4), and spades (). Thus, for instance, the jack of spades, J, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below. 10♥ J♥ Q♥ K♥ J• Q• K• A 24 34 44 54 64 7 84 94 104 JA Q4 KA JA Q4 KA AV 20 3V 4♥ 5V 6♥ 7♥ 8v 9♥ A 2+ 3+ 4+ 5+ 6• 7+ 8• 94 10+ A4 24 34 44 54 64 74 84 94 104 hands
Poker Hands A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker hands of the specified type. two pairs with exactly one pair being jacks (two jacks, two of another denomination, and one of a third) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (V), diamonds (), clubs (4), and spades (). Thus, for instance, the jack of spades, J, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below. 10♥ J♥ Q♥ K♥ J• Q• K• A 24 34 44 54 64 7 84 94 104 JA Q4 KA JA Q4 KA AV 20 3V 4♥ 5V 6♥ 7♥ 8v 9♥ A 2+ 3+ 4+ 5+ 6• 7+ 8• 94 10+ A4 24 34 44 54 64 74 84 94 104 hands
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![## Poker Hands
A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker hands of the specified type:
**Two pairs with exactly one pair being jacks** (two jacks, two of another denomination, and one of a third).
For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (♥), diamonds (♦), clubs (♣), and spades (♠). Thus, for instance, the jack of spades, J♠, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below:
- A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
- A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
- A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
- A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
\[ \text{_________} \] hands](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc613f6ef-7629-4f98-b1b7-5d395160f4b1%2F0fba40cb-ec42-4491-b073-2beb699354e9%2Fshjymc_processed.png&w=3840&q=75)
Transcribed Image Text:## Poker Hands
A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker hands of the specified type:
**Two pairs with exactly one pair being jacks** (two jacks, two of another denomination, and one of a third).
For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (♥), diamonds (♦), clubs (♣), and spades (♠). Thus, for instance, the jack of spades, J♠, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below:
- A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
- A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
- A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
- A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
\[ \text{_________} \] hands
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