bag of M&M's has 7 red, 2 green, 6 blue, and 8 yellow M&M's. What is the probability of randomly picking:

(give answer as a reduced fraction)

1) a yellow?

2) a blue or green?

3) an orange?

Let's first calculate the total number of M&M's:

\[
7 \, \text{(red)} + 2 \, \text{(green)} + 6 \, \text{(blue)} + 8 \, \text{(yellow)} = 23 \, \text{total M&M's}
\]

Now let's calculate each probability:

### 1) Probability of picking a yellow M&M:
The number of yellow M&M's is 8, and the total number of M&M's is 23. So the probability of picking a yellow M&M is:

\[
P(\text{yellow}) = \frac{8}{23}
\]

### 2) Probability of picking a blue or green M&M:
The number of blue M&M's is 6, and the number of green M&M's is 2. So, the combined number of blue or green M&M's is:

\[
6 + 2 = 8
\]

Thus, the probability of picking a blue or green M&M is:

\[
P(\text{blue or green}) = \frac{8}{23}
\]

### 3) Probability of picking an orange M&M:
Since there are no orange M&M's in the bag, the probability of picking an orange M&M is:

\[
P(\text{orange}) = \frac{0}{23} = 0
\]

### Summary:
1) Probability of yellow: \( \frac{8}{23} \)
2) Probability of blue or green: \( \frac{8}{23} \)
3) Probability of orange: \( 0 \)

Would you like further clarification or details on any of these? 

Here are 5 related questions:
1. What is the probability of picking a red M&M?
2. What is the probability of picking a red or yellow M&M?
3. What is the probability of picking a non-yellow M&M?
4. If one M&M is removed randomly, how does it affect the probabilities?
5. What is the probability of picking either a red, green, or blue M&M?

**Tip:** When dealing with probabilities, always make sure the total number of possible outcomes is correct before calculating specific event probabilities.

A bag of M&M's has 7 red, 2 green, 6 blue, and 8 yellow M&M's. What is the probability of randomly picking: 1) a yellow? 2) a blue or green? 3) an orange?

Explore how to calculate the probability of picking yellow, blue or green, and orange M&M's from a bag containing 7 red, 2 green, 6 blue, and 8 yellow M&M's. Learn the step-by-step solution using basic probability concepts and fraction reduction. Perfect for Grades 6-8 students learning probability.

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