Multiple choice

What is the probability of selecting two spade cards from a pack of 52 cards?

  1. 1/17

  2. 15/17

  3. 32/64

  4. 5/17
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A Correct answer
Explanation

Total ways to pick 2 cards = 52C2 = (52*51)/2 = 1326. Ways to pick 2 spades = 13C2 = (13*12)/2 = 78. Probability = 78 / 1326 = 1/17.

AI explanation

A standard pack contains 52 cards, of which 13 are spades. The number of ways to draw two spades is 13C2, which equals 78. The total number of ways to draw any two cards from the pack is 52C2, which equals 1326. The required probability is 78/1326, which simplifies to 1/17.

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