**A card is drawn randomly from a standard 52-card deck. Find the following:**
*Write all answers as simplified fractions.*
**Odds in favor of drawing a face card.**

In a standard deck of 52 cards, there are 12 face cards (the Jack, Queen, and King in each of the four suits: Hearts, Diamonds, Clubs, and Spades).

### Formula for odds in favor:
\[
\text{Odds in favor} = \frac{\text{Number of favorable outcomes}}{\text{Number of unfavorable outcomes}}
\]

- Favorable outcomes: There are 12 face cards.
- Unfavorable outcomes: The rest of the cards are non-face cards, so there are \( 52 - 12 = 40 \) non-face cards.

Thus, the odds in favor of drawing a face card are:

\[
\text{Odds in favor} = \frac{12}{40} = \frac{3}{10}
\]

So, the odds in favor of drawing a face card are \( \frac{3}{10} \).

Would you like a detailed breakdown or have any further questions?

Here are 5 related questions to expand on this:

1. What are the odds against drawing a face card?
2. What is the probability of drawing a face card from the deck?
3. What are the odds in favor of drawing an Ace from a standard deck?
4. What is the probability of drawing a red face card from the deck?
5. What are the odds in favor of drawing a non-face card?

**Tip:** Remember that odds and probability are closely related but calculated differently!

A card is drawn randomly from a standard 52-card deck. Find the following: Odds in favor of drawing a face card.

Discover how to calculate the odds in favor of drawing a face card from a standard 52-card deck. This problem explores basic probability concepts, including favorable and unfavorable outcomes, and simplifies the result into a fraction. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation