Multiple choice

Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond, is

  1. 13/102

  2. 46/104

  3. 12/21

  4. 13/200
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A Correct answer
Explanation

Total ways to choose 2 cards from 52 is 52C2 = 1326. Ways to choose 1 club (13) and 1 diamond (13) is 13 * 13 = 169. Probability = 169 / 1326 = 13 / 102.

AI explanation

The total number of ways to draw two cards from 52 is given by the combination formula 52C2, which equals 1326. Since there are 13 clubs and 13 diamonds, the number of ways to choose one of each is 13C1 multiplied by 13C1, giving 169. Dividing the successful outcomes by the total outcomes gives 169/1326, which simplifies to 13/102.

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