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What is the probability of drawing an ace from a standard deck?

This is a basic probability question because you can count favourable outcomes directly and divide by the total equally likely single-card outcomes.

Probability result

7.6923%

Exact fraction: 1/13

Decimal: 0.076923

The probability is 1/13, which is 0.076923 or 7.6923%.

A standard deck has 4 aces out of 52 cards. That makes the probability 4 out of 52, which reduces to 1 out of 13.

Worked steps

Show your work

  1. Inputs: favorable outcomes = 4, total outcomes = 52.
  2. Formula: P(E) = favorable outcomes / total outcomes.
  3. Substitute: P(E) = 4/52.
  4. Reduce: 4/52 = 1/13.
  5. Result: The probability is 1/13, which is 0.076923 or 7.6923%.

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A standard deck has 4 aces out of 52 cards. That makes the probability 4 out of 52, which reduces to 1 out of 13.

Formula

Probability model

P(E) = favorable outcomes / total outcomes

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Calculation work