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Yet, your chances increase when cards are opened. For example, you are again playing against the same opponent who is holding two cards and three cards are on the table with five other cards discarded. This means that there are now 40 unopened cards in the deck. If none of the opened or discarded cards are Aces, your chances of being dealt an Ace increase to 10%. More exposed cards may mean higher probabilities for you, as long as none of your desired cards has been revealed. This means that when there is one exposed Ace, the probability of getting another ace has decreased to 7.5%.
The probability of an event refers to the likelihood that it will occur. For example, from out of a deck of 52 playing cards, the probability of obtaining a Queen of Hearts is one out of 52 instances or 1.92%. The chances are “slim” because there is only one Queen of Hearts. If you are less choosy, and all you need is a Queen, the probability of drawing a Queen out of 52 playing cards is four out of 52 or 7.69%. Your chances has increased, simply because there are four Queens.
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In a card game, however, you cannot always assume that the probability of getting a Queen or a Deuce is always 7.69%. For example, if you are playing against one opponent who is holding two cards and you are also holding two cards. The remaining deck contains 48 unopened cards. After studying the values of your cards, you decide that you need an Ace. But, you have no Ace with you. This means that the Aces can be in the deck or two of them are held by your single opponent. If you believe that your opponent has no Ace at all, then, there are four chances out of 48 that you will get an ace from the deck. This is a probability of 8.33%. If you believe that your opponent is already holding one Ace, your chances of getting an ace from the unopened deck is reduced to 6.25%. This implies that with more opponents, your chances of getting certain kinds of cards have decreased.
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