https://file.aiquickdraw.com/mathbot/file/1728334631367re3btgcd.jpg

Let's break down the problem from the image.

You have a bag containing eight tiles labeled:  
**A, B, C, D, E, F, G, H**.

You are asked to find the probability of picking a letter that is **not a vowel**. The vowels among the listed tiles are **A** and **E**.

- **Total number of tiles = 8**  
- **Vowels = A, E** (which means there are 2 vowels)  
- **Non-vowels**: B, C, D, F, G, H (there are 6 non-vowels).

Now, the probability of picking a letter that is **not a vowel** is the ratio of non-vowel tiles to the total number of tiles. This gives:

\[
P(\text{not a vowel}) = \frac{\text{Number of non-vowel tiles}}{\text{Total number of tiles}} = \frac{6}{8} = \frac{3}{4}
\]

So, the probability of picking a letter that is not a vowel is **\( \frac{3}{4} \)**.

Would you like more details on this or do you have any questions?

Here are 5 related questions you can explore:
1. What is the probability of picking a vowel instead of a consonant?
2. If one more vowel is added to the bag, how would the probability change?
3. How would the probability be affected if 4 more consonants were added?
4. What if there are an unknown number of tiles, but only 3 vowels; how would you calculate the probability?
5. How does this problem relate to real-life scenarios involving probability?

**Tip**: Always simplify probabilities to their lowest terms for final answers!

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking a letter that is not a vowel? Write your answer as a fraction.

Calculate the probability of drawing a letter that is not a vowel from a set of tiles labeled A, B, C, D, E, F, G, and H. Understand the process of determining probabilities using ratios and fractions, perfect for students in Grades 6-8.

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