Two cards are drawn together from a pack of 52. What is the probability that both are aces?

\frac{1}{221}

Correct answerYour answer

\frac{1}{169}

Correct answerYour answer

\frac{1}{13}

Correct answerYour answer

\frac{2}{13}

Correct answerYour answer

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CorrectNot quiteAnswer A

Correct answer: A

Ways to choose 2 of the 4 aces: ${}^{4}C_2 = 6$ ; ways to choose any 2 cards: ${}^{52}C_2 = 1{,}326$ .
The probability is $\frac{6}{1{,}326} = \frac{1}{221}$ .

Worth noting

$\frac{1}{169} = \left(\frac{4}{52}\right)^2$ assumes the first card goes back before the second is drawn.

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Explanation