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%).

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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!