A bag of M&M's has 5 red, 2 green, 4 blue, and 8 yellow M&M's. What is the probability of randomly picking
a yellow? Leave answer as a reduced fraction.

a blue or green?

an orange?

Let's break down the problem step by step.

### 1. Total number of M&M's:
To calculate the total number of M&M's, we add up all the colors:
\[
5 \text{ (red)} + 2 \text{ (green)} + 4 \text{ (blue)} + 8 \text{ (yellow)} = 19 \text{ M&M's in total}.
\]

### 2. Probability of randomly picking a yellow M&M:
There are 8 yellow M&M's in the bag, and the total number of M&M's is 19, so the probability is:
\[
\frac{8}{19}.
\]

### 3. Probability of picking a blue or green M&M:
There are 4 blue and 2 green M&M's, so the total number of favorable outcomes is:
\[
4 \text{ (blue)} + 2 \text{ (green)} = 6.
\]
Thus, the probability of picking a blue or green M&M is:
\[
\frac{6}{19}.
\]

### 4. 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:
\[
\frac{0}{19} = 0.
\]

### Final answers:
- Probability of picking a yellow: \(\frac{8}{19}\)
- Probability of picking a blue or green: \(\frac{6}{19}\)
- Probability of picking an orange: \(0\)

Would you like any further details or clarifications?

Here are 5 related questions for practice:
1. What is the probability of picking a red M&M?
2. What is the probability of picking any color other than red?
3. What is the probability of picking two M&M's consecutively without replacement, both being yellow?
4. What is the probability of picking two M&M's consecutively with replacement, both being blue?
5. If one yellow M&M is removed from the bag, what is the new probability of picking a yellow?

**Tip:** When calculating probabilities, always start by determining the total number of possible outcomes.

A bag of M&M's has 5 red, 2 green, 4 blue, and 8 yellow M&M's. What is the probability of randomly picking a yellow? A blue or green? An orange?

Find the probability of picking a yellow, blue, or green M&M from a bag with 5 red, 2 green, 4 blue, and 8 yellow M&M's. This problem covers basic probability and counting concepts, perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation