Suppose you have a bag with 25 letter tiles in it and 12 of the tiles are the letter Y. If you pick a letter tile at random from the​ bag, the probability that it is the letter Y is StartFraction 12 Over 25 EndFraction
. Suppose another bag has 500 letter tiles in it and 290 of the tiles are the letter Y. Write the probability of picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter Y​?

To solve this, we need to calculate the probability of picking a tile with the letter "Y" from both bags and compare them.

### First Bag:
- There are 25 tiles, and 12 of them are the letter Y.
- The probability of picking a tile that is the letter Y from this bag is:
\[
\text{Probability} = \frac{12}{25}
\]
- Converting this to a percentage:
\[
\frac{12}{25} \times 100 = 48\%
\]
So, the probability of picking a "Y" tile from the first bag is **48%**.

### Second Bag:
- There are 500 tiles, and 290 of them are the letter Y.
- The probability of picking a tile that is the letter Y from this bag is:
\[
\text{Probability} = \frac{290}{500}
\]
- Simplifying the fraction:
\[
\frac{290}{500} = \frac{29}{50}
\]
- Converting this to a percentage:
\[
\frac{29}{50} \times 100 = 58\%
\]
So, the probability of picking a "Y" tile from the second bag is **58%**.

### Conclusion:
You are more likely to pick a tile that is the letter Y from the **second bag** since its probability (58%) is higher than the first bag's probability (48%).

---

Would you like to explore further details or clarifications? Here are some additional questions you could consider:

1. How would the probability change if we added more tiles to either bag?
2. What is the probability of not picking a "Y" tile from each bag?
3. How do you simplify fractions when calculating probabilities?
4. What are the odds of picking a letter other than "Y" in both bags?
5. Can you express the probability as a decimal instead of a fraction or percent?

**Tip:** When comparing probabilities, percentages make it easier to see the difference at a glance!

Suppose you have a bag with 25 letter tiles in it and 12 of the tiles are the letter Y. If you pick a letter tile at random from the​ bag, the probability that it is the letter Y is StartFraction 12 Over 25 EndFraction. Suppose another bag has 500 letter tiles in it and 290 of the tiles are the letter Y. Write the probability of picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter Y​?

Learn how to calculate the probability and percentage of picking a letter Y from two different bags. This problem involves understanding basic probability theory, converting fractions to percentages, and comparing probabilities. Suitable for students in Grades 6-8.

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