One card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card be an ace.

1/13

The correct answer is Option (1) → 1/13

To find the probability of drawing an ace from a standard deck of cards, we can use the basic formula for probability:

$P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Step 1: Identify the Total Outcomes

A standard well-shuffled deck contains a total of 52 cards.

$\text{Total outcomes} = 52$

Step 2: Identify the Favorable Outcomes

In a standard deck, there are 4 suits (Hearts, Diamonds, Clubs, and Spades). Each suit has exactly one Ace. Therefore, there are 4 Aces in the deck.

$\text{Favorable outcomes (Aces)} = 4$

Step 3: Calculate the Probability

$P(\text{Ace}) = \frac{4}{52}$

To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 4:

$P(\text{Ace}) = \frac{4 \div 4}{52 \div 4} = \frac{1}{13}$