https://file.aiquickdraw.com/mathbot/file/1729060799204wujbt4y9.jpg

Let's break down and solve the questions from the image:

### (a) Find the probability of drawing a card below a 4 (count an ace as high).
- A standard deck has 52 cards.
- Cards below 4 include the 2, 3 in each suit (hearts, diamonds, clubs, and spades). Therefore, there are 2 cards below a 4 in each suit, and 4 suits. So the total number of cards below 4 is:
  \[
  2 \times 4 = 8 \text{ cards}.
  \]
- The probability is the ratio of favorable outcomes (cards below 4) to the total number of possible outcomes (total cards), so:
  \[
  \text{Probability} = \frac{8}{52} = \frac{2}{13}.
  \]

### (b) Find the odds of drawing a card below a 4.
- Odds are calculated as the ratio of favorable outcomes to unfavorable outcomes.
- Favorable outcomes: 8 (cards below 4).
- Unfavorable outcomes: There are 52 - 8 = 44 cards that are not below a 4.
  \[
  \text{Odds} = \frac{\text{Favorable outcomes}}{\text{Unfavorable outcomes}} = \frac{8}{44} = \frac{2}{11}.
  \]

### (c) Use the Law of Large Numbers to interpret the probability and odds of drawing a card below a 4.
- From part (a), the probability of drawing a card below 4 is \( \frac{2}{13} \), meaning on average, you can expect to draw such a card about 2 out of every 13 draws.
- Therefore, the correct answer is **Option 5**:
  \[
  \text{"We should expect to draw a card below a 4 about two times out of every thirteen attempts. Also, we should expect to draw a card below a 4 two times for every eleven times we draw a 4 or above."}
  \]

Let me know if you'd like further details or have any other questions!

### 5 Related Questions:
1. What are the total odds of drawing a face card from a standard deck?
2. How do you compute the probability of drawing two cards below 4 in succession?
3. What is the probability of drawing a red card that is not below 4?
4. How does the Law of Large Numbers apply to multiple trials of card draws?
5. How do you calculate the odds of drawing any card higher than a 10?

### Tip:
Always reduce fractions in probability calculations to their simplest form for clarity and accuracy.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a card below a 4 (count an ace as high). Find the odds of drawing a card below a 4. Use the Law of Large Numbers to interpret both the probability and the odds.

Learn how to calculate the probability and odds of drawing a card below a 4 from a standard 52-card deck. This problem also applies the Law of Large Numbers for interpreting outcomes over multiple trials. Detailed step-by-step explanation for Grades 9-12 students.

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