Project Goal: Compare probability of poker hands. Determine how much probability
ID: 3365553 • Letter: P
Question
Project Goal: Compare probability of poker hands. Determine how much probability changes with knowledge about other cards.
Steps
Assuming a “hand” is a 5 card selection from a standard deck, how many possible “hands” are there in poker? Explain your steps and reasoning.
Choose a high ranking poker hand (such as a flush). Determine the probability of getting that hand. Determine the odds for and odds against getting that hand. Share your work and reasoning.
You have slyly found out the person beside you already has the hand you are trying to get. Determine the probability now that you get that hand. Share your work, results, and reasoning.
Assuming a “hand” is a 5 card selection from a standard deck, how many possible “hands” are there in poker? Explain your steps and reasoning.
Choose a high ranking poker hand (such as a flush). Determine the probability of getting that hand. Determine the odds for and odds against getting that hand. Share your work and reasoning.
You have slyly found out the person beside you already has the hand you are trying to get. Determine the probability now that you get that hand. Share your work, results, and reasoning.
Explanation / Answer
1)
5 cards from a deck of 52 cards can be selected in 52C5 ways
Hence total possible hands are 52C5 = 2598960
2)
Flush happens when all cards of the same suit however sequence doesn't matter
Hence possible ways of flush to occur are 4C1*13C5 = 5148
Probability = 0.00198
3)
let person besides has flush and you are also trying get a flush.
Person already has 5 cards of the same suit.
Now another flush you can create from the cards of other 3 suits or remaining 8 cards of the suit for which the person has a hand.
This can be done in 3C1*13C5 + 8C5 ways = 3917
Required probability = 0.001507141
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