Multiple choice

If $2$ cards are drawn from a pack of $52$, then the probability that they are from the same suit is___

  1. $4/7$
  2. $4/17$
  3. $3/17$
  4. $4/13$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total ways to pick 2 cards = 52C2 = 1326. Ways to pick 2 from same suit = 4 * 13C2 = 4 * 78 = 312. Probability = 312/1326 = 4/17.

AI explanation

Using the combination formula, the total number of ways to draw 2 cards from 52 is 52C2, which equals 1326. The number of ways to draw 2 cards from the same suit is 4 multiplied by 13C2, since there are 4 suits and 13 cards in each, giving 312 favorable outcomes. The probability is 312 divided by 1326, which simplifies to 4 over 17.

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