- #1
DaveC426913
Gold Member
- 22,497
- 6,168
What is the probability that, in a single euchre deal, all four players will be dealt perfect potential lay-down hands (5 highest trump cards), each player in a different suit?
Perfect Euchre Deal: Probability of All Players Having 5 Trump
- Thread starter DaveC426913
- Start date
In summary, the probability of all four players being dealt perfect potential lay-down hands in a single euchre deal, with each player in a different suit, is zero. This is because it is impossible for two players to have both the right and left bower of the same color, and the left bower is often considered part of the perfect potential lay-down hand.
- #2
BobG
Science Advisor
Homework Helper
- 352
- 87
DaveC426913 said:
Wouldn't it be zero since it's impossible for two players to get both the right and left bower of the same color? Or are you excluding the left bower?
- #3
DaveC426913
Gold Member
- 22,497
- 6,168
BobG said:
1. What is the probability of all players having 5 trump cards in a perfect euchre deal?
The probability of all players having 5 trump cards in a perfect euchre deal is approximately 1 in 3,392,806. This means that in a game with 4 players, the chances of all players receiving 5 trump cards each is very low.
2. How is the probability of a perfect euchre deal calculated?
The probability of a perfect euchre deal is calculated using the formula P = (24/24)(23/23)(22/22)(21/21)(20/20), where P represents the probability and the numbers represent the remaining cards in the deck after each player has been dealt their 5 cards. This can be simplified to P = 1.
3. Is it possible for all players to have 5 trump cards in other card games?
The likelihood of all players having 5 trump cards in other card games will depend on the specific rules and number of players involved. In games with a larger deck of cards and more players, the probability will decrease.
4. What factors influence the probability of a perfect euchre deal?
The main factor that influences the probability of a perfect euchre deal is the number of players. The more players there are, the lower the chances of all players receiving 5 trump cards. Additionally, the number of cards in the deck and the specific rules of the game can also affect the probability.
5. How can the probability of a perfect euchre deal be increased?
The probability of a perfect euchre deal cannot be increased, as it is purely based on chance and the number of players. However, players can increase their chances of winning by strategizing and playing their hand strategically, regardless of the cards they are dealt.
Similar threads
-
Set Theory, Logic, Probability, Statistics
-
Set Theory, Logic, Probability, Statistics
-
Set Theory, Logic, Probability, Statistics
-
Set Theory, Logic, Probability, Statistics
-
Computing and Technology
-
Precalculus Mathematics Homework Help
-
General Discussion
-
Set Theory, Logic, Probability, Statistics
-
General Discussion