Multiple choice

Two cards are drawn at random from a pack of 52 cards. The probability of these two being aces is

  1. $\displaystyle \frac{1}{26}$
  2. $\displaystyle \frac{1}{221}$
  3. $\displaystyle \frac{1}{2}$

  4. None of these.
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B Correct answer
Explanation

The probability of drawing two aces is (4/52) * (3/51) = (1/13) * (1/17) = 1/221.

AI explanation

The total number of ways to draw 2 cards from a deck of 52 is found using the combinations formula 52C2, which equals 1276. The number of favorable ways to draw 2 aces from the 4 available is 4C2, which equals 6. The probability is the favorable outcomes divided by the total outcomes, giving 6/1276, which simplifies by dividing the numerator and denominator by 6 to 1/221. The probability is 1/221.

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