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Cards again

Given a well shuffled standard deck of 52 cards, what is the probability of what of the following events. (Think before you jump.)

  1. The 1st card is an ace.
  2. The 15th card is an ace.
  3. The 9th card is a diamond.
  4. The last 5 cards are hearts.
  5. The 17th card is the ace of diamonds and the 14 is the King of spades
  6. The 5th card is a diamond given that the 50th card is a diamond.

 


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