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Let's solve each question step-by-step based on the contents of the image.

### Information Provided
The bag of M&Ms contains:
- 3 red
- 7 green
- 8 blue
- 2 yellow

Total M&Ms = \(3 + 7 + 8 + 2 = 20\)

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### Question 1
**If you already drew out a blue M&M, what's the probability of drawing out a yellow?**

Since one blue M&M has already been drawn, there are now:
- Total M&Ms left = 19
- Yellow M&Ms = 2

**Probability of drawing a yellow M&M:**
\[
\frac{\text{Number of yellow M&Ms}}{\text{Total M&Ms left}} = \frac{2}{19}
\]

---

### Question 2
**What's the probability of drawing a blue or green?**

Initially, there are:
- Blue M&Ms = 8
- Green M&Ms = 7
- Total M&Ms = 20

**Probability of drawing a blue or green M&M:**
\[
\frac{\text{Number of blue M&Ms + Number of green M&Ms}}{\text{Total M&Ms}} = \frac{8 + 7}{20} = \frac{15}{20} = \frac{3}{4}
\]

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### Question 3
**If you already drew out a red M&M, what's the probability of drawing out another red?**

After drawing one red M&M, the remaining count is:
- Total M&Ms left = 19
- Red M&Ms left = 2

**Probability of drawing another red M&M:**
\[
\frac{\text{Remaining red M&Ms}}{\text{Total M&Ms left}} = \frac{2}{19}
\]

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### Summary of Answers:
1. \( \frac{2}{19} \)
2. \( \frac{3}{4} \)
3. \( \frac{2}{19} \)

Would you like further details on any of these calculations?

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#### Related Questions:
1. What is the probability of drawing two blue M&Ms consecutively?
2. If two yellow M&Ms are drawn, what's the probability of then drawing a green M&M?
3. How would the probability change if there was one more red M&M in the bag?
4. What’s the probability of drawing a non-blue M&M?
5. What is the probability of drawing a red or yellow M&M?

#### Tip:
When calculating probabilities with dependent events (like drawing without replacement), always update the total count and the count of specific items after each draw.

A bag of M&Ms has 3 red, 7 green, 8 blue, and 2 yellow M&Ms. Find the probability of various events based on different conditions involving drawing M&Ms from the bag.

Explore the probability of drawing specific colors of M&Ms from a bag with a detailed solution. Learn concepts of probability, conditional probability, and dependent events with real-life examples. Suitable for students in Grades 9-10.

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