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Question

If two cards are drawn from a well shuffled pack of 52 playing cards, the probability that there will be at least one club card is

  1. fraction numerator 3 9 subscript C subscript 2 end subscript end subscript over denominator 5 2 subscript C subscript 2 end subscript end subscript end fraction    
  2. 1 minus fraction numerator 3 9 subscript C subscript 2 end subscript end subscript over denominator 5 2 subscript C subscript 2 end subscript end subscript end fraction    
  3. fraction numerator 39 over denominator 52 end fraction cross times fraction numerator 39 over denominator 52 end fraction    
  4. fraction numerator 3 0 subscript C subscript 2 end subscript end subscript over denominator 5 2 subscript C subscript 2 end subscript end subscript end fraction    

The correct answer is: 1 minus fraction numerator 3 9 subscript C subscript 2 end subscript end subscript over denominator 5 2 subscript C subscript 2 end subscript end subscript end fraction


    Required probability equals 1 —probability that there will be no club card equals 1 minus fraction numerator 3 9 subscript C subscript 2 end subscript end subscript over denominator 5 2 subscript C subscript 2 end subscript end subscript end fraction

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