California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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

1/13
1/52
1/26
1/12

The correct answer is: 1/13

In a standard deck of cards, there are 52 cards in total. This deck contains 4 aces, one from each suit: hearts, diamonds, clubs, and spades. To find the probability of drawing one specific card, such as an ace, you divide the number of favorable outcomes (which are the 4 aces) by the total number of possible outcomes (which is the total number of cards, 52). Thus, the calculation is as follows: Probability of drawing an ace = Number of aces / Total number of cards = 4 / 52. When you simplify this fraction, you divide both the numerator and the denominator by 4, leading to: 4 ÷ 4 = 1 (the number of aces), and 52 ÷ 4 = 13 (the total number of groups of 4 cards). Therefore, the probability simplifies to 1/13. This calculation shows that the option representing 1/13 correctly reflects the likelihood of randomly drawing an ace from a full deck of cards.