Engineering Board Exam Reviewer · Basic Probability · hard

Two cards are drawn without replacement from a standard deck. What is the probability that the second card is an ace?

  1. 1/17
  2. 1/13
  3. 4/51
  4. 1/12

Answer

B. 1/13

Solution

By symmetry, the second card is equally likely to be any of the 52 cards, so P=4/52= 113. (Check: 452· 351+48/52· 451=204/2652= 113.)

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