Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

8 decks of playing cards are used in baccarat initially. In each game 4 cards are drawn from the shoe which contains the 8 decks of cards (416 cards in total), in which 2 cards for Banker and 2 cards for Player. What is the probability of having at least one pair in a Baccarat game (that is, either Banker or Player get a pair or both got a pair)?

share|improve this question
Please give your solution. –  Ram Feb 1 '13 at 11:08
add comment

1 Answer


  • Find the probability that the second card drawn is the same as the first
  • Double that (either the player of the banker may have a pair)
  • Reduce the result as both may have a pair, which will have been counted twice
    • subtract the probability they have the same pair
    • subtract the probability they have different pairs pair
share|improve this answer
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.