A Card Is Drawn From A Well-shuffled Deck Of 52 Cards. Find P(drawing An Ace Or An 8).A. \[$\frac{8}{13}\$\]B. \[$\frac{4}{13}\$\]C. \[$\frac{2}{13}\$\]D. \[$\frac{13}{2}\$\]

A Card is Drawn from a Well-Shuffled Deck of 52 Cards: Finding the Probability of Drawing an Ace or an 8

In this article, we will explore the concept of probability and how it applies to drawing a card from a well-shuffled deck of 52 cards. We will specifically focus on finding the probability of drawing an ace or an 8. Probability is a measure of the likelihood of an event occurring, and it is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Understanding the Deck of Cards

A standard deck of cards consists of 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. In this problem, we are interested in drawing an ace or an 8.

Calculating the Probability of Drawing an Ace or an 8

To calculate the probability of drawing an ace or an 8, we need to count the number of favorable outcomes and the total number of possible outcomes.

• Favorable Outcomes: There are 4 aces in the deck (one in each suit) and 4 eights in the deck (one in each suit). Therefore, the total number of favorable outcomes is 4 (aces) + 4 (eights) = 8.
• Total Number of Possible Outcomes: There are 52 cards in the deck, so the total number of possible outcomes is 52.

Calculating the Probability

Now that we have the number of favorable outcomes and the total number of possible outcomes, we can calculate the probability of drawing an ace or an 8.

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes = 8 / 52 = 2 / 13

In conclusion, the probability of drawing an ace or an 8 from a well-shuffled deck of 52 cards is 2/13. This means that if you were to draw a card from the deck, there is a 2/13 chance that it would be an ace or an 8.

The correct answer is C. {\frac{2}{13}$}$

Probability is an important concept in mathematics, and it has many real-world applications. In this article, we explored the concept of probability and how it applies to drawing a card from a well-shuffled deck of 52 cards. We calculated the probability of drawing an ace or an 8 and found that it is 2/13. This article provides a basic understanding of probability and how it can be applied to everyday life.
A Card is Drawn from a Well-Shuffled Deck of 52 Cards: Q&A

In our previous article, we explored the concept of probability and how it applies to drawing a card from a well-shuffled deck of 52 cards. We calculated the probability of drawing an ace or an 8 and found that it is 2/13. In this article, we will answer some frequently asked questions related to the topic.

Q: What is the probability of drawing a specific card from a well-shuffled deck of 52 cards? A: The probability of drawing a specific card from a well-shuffled deck of 52 cards is 1/52, since there is only one specific card in the deck.

Q: How many cards are in a standard deck of cards? A: There are 52 cards in a standard deck of cards, divided into four suits: hearts, diamonds, clubs, and spades.

Q: What is the probability of drawing an ace from a well-shuffled deck of 52 cards? A: The probability of drawing an ace from a well-shuffled deck of 52 cards is 4/52, since there are 4 aces in the deck. This can be simplified to 1/13.

Q: What is the probability of drawing an 8 from a well-shuffled deck of 52 cards? A: The probability of drawing an 8 from a well-shuffled deck of 52 cards is 4/52, since there are 4 eights in the deck. This can be simplified to 1/13.

Q: What is the probability of drawing an ace or an 8 from a well-shuffled deck of 52 cards? A: The probability of drawing an ace or an 8 from a well-shuffled deck of 52 cards is 2/13, since there are 4 aces and 4 eights in the deck.

Q: Can the probability of drawing an ace or an 8 be affected by the order in which the cards are drawn? A: No, the probability of drawing an ace or an 8 is not affected by the order in which the cards are drawn, since the deck is well-shuffled.

Q: What is the probability of drawing a specific suit from a well-shuffled deck of 52 cards? A: The probability of drawing a specific suit from a well-shuffled deck of 52 cards is 13/52, since there are 13 cards in each suit. This can be simplified to 1/4.

In conclusion, we have answered some frequently asked questions related to the topic of drawing a card from a well-shuffled deck of 52 cards. We have calculated the probability of drawing a specific card, an ace, an 8, and a specific suit. We have also discussed how the order in which the cards are drawn does not affect the probability of drawing an ace or an 8.

Probability is an important concept in mathematics, and it has many real-world applications. In this article, we have provided a basic understanding of probability and how it can be applied to everyday life. We hope that this article has been helpful in answering some of your questions related to the topic.