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Card Probability

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Suppose I put 6 cards face-up on a table [you know, from a regular deck of playing cards -- hearts, diamonds, spades, clubs; Ace, 2, 3, ..., 10, J, Q, K] and asked you to pick one of the 6 cards without telling me which one it was. That is, I select 6 of the 52 possible card and place them face-up on a table. The other 46 cards are moved to the side -- THEY HAVE NOTHING TO DO WITH THE REST OF THIS SCENARIO. Now, I ask you to pick one of the cards -- mentally pick one, but don't tell me which one you picked.

What is the probability that I could guess the card you picked correctly?

What is the probability that, if we did this six times in a row, I could guess it correctly each time?

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Solution Summary

The probability of guessing the right card from a card deck is determined.

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What is the probability that I could guess the card you picked correctly?

We only care about the 6 cards on the table. The probability that the correct card is ...

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