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A card odds calculator computes probabilities for card games including poker hand odds, blackjack bust probability, and the chance of drawing specific cards from a shuffled deck.

Formule

Odds of drawing specific card = quantity in deck / remaining cards; Probability = odds / (odds + 1)
p
Probability of card (%)
n
Number of target cards (count)
N
Total cards remaining (count)

Guide étape par étape

  1. 1Probability = Favourable outcomes / Total remaining cards
  2. 2Poker: P(royal flush) = 4/2,598,960 ≈ 0.000154%
  3. 3Hypergeometric distribution for drawing without replacement
  4. 4Pot odds: compare call cost to pot size to decide profitability

Exemples résolus

Entrée
Probability of drawing an ace from a full 52-card deck
Résultat
4/52 = 1/13 ≈ 7.69%

Questions fréquentes

How many cards of each rank in a standard deck?

52 cards total: 4 of each rank (A-K) in 4 suits. 13 ranks.

What's the probability of drawing an ace?

First card: 4/52 = 7.69%. Changes after each draw as deck reduces.

Are these odds used in poker strategy?

Yes. Pot odds, hand odds, and equity calculations drive poker decision-making.

Paramètres