What is the probability of getting an ace from a well-shuffled deck of cards?

Answer: The probability of drawing an ace from a well-shuffled deck of cards is 1/13 or approximately 7.69%.

Let’s break it down:

1. Total Number of Cards: In a standard deck of playing cards, there are 52 cards in total. These cards are divided into four suits: hearts, diamonds, clubs, and spades.

2. Number of Aces: Among these 52 cards, there are four aces. Each suit (hearts, diamonds, clubs, and spades) has one ace. So, there are 4 aces in total in the deck.

3. Calculating Probability: Probability is a measure of the likelihood of an event occurring. To calculate the probability of drawing an ace from a well-shuffled deck, we use the formula:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

In this case, the favorable outcome is drawing an ace, and there are 4 aces in the deck. The total number of possible outcomes is the total number of cards in the deck, which is 52.

4. Substitute Values: Now, let’s plug the values into the formula:

Probability = (Number of aces) / (Total number of cards) = 4 / 52 = 1 / 13

5. Express as Percentage: To express this probability as a percentage, we can multiply the result by 100:

Probability = (1 / 13) * 100 ≈ 7.69%

So, the probability of drawing an ace from a well-shuffled deck of cards is approximately 1/13 or about 7.69%. This means that if you randomly select a card from the deck, there’s roughly a 7.69% chance that it will be an ace.