https://file.aiquickdraw.com/mathbot/file/1730758951813ro52owac.jpg

To determine the odds against picking a yellow jelly bean, let's follow these steps:

### Step 1: Calculate the Total Number of Jelly Beans
The jar contains:
- 12 black
- 8 red
- 10 yellow
- 5 green

Total number of jelly beans = \( 12 + 8 + 10 + 5 = 35 \)

### Step 2: Calculate the Number of Yellow Jelly Beans
There are 10 yellow jelly beans.

### Step 3: Determine the Probability of Picking a Yellow Jelly Bean
The probability of picking a yellow jelly bean is:
\[
\frac{\text{Number of yellow jelly beans}}{\text{Total number of jelly beans}} = \frac{10}{35}
\]

### Step 4: Calculate the Probability of Not Picking a Yellow Jelly Bean
The probability of not picking a yellow jelly bean is:
\[
1 - \frac{10}{35} = \frac{25}{35}
\]

### Step 5: Calculate the Odds Against Picking a Yellow Jelly Bean
The odds against picking a yellow jelly bean are expressed as the ratio of unfavorable outcomes (not picking yellow) to favorable outcomes (picking yellow):
\[
\frac{25}{10}
\]
This fraction can remain unsimplified, as the question asks for an unsimplified fraction. So the answer is:
\[
\frac{25}{10}
\]

Would you like further details or have any questions about this solution?

Here are five related questions to explore further:
1. How would the odds change if there were more green jelly beans?
2. What are the odds in favor of picking a yellow jelly bean?
3. How would the probability be affected if another color of jelly bean was added?
4. If two jelly beans are picked without replacement, what is the probability that both are yellow?
5. How would we calculate the odds against picking a red jelly bean?

**Tip:** When dealing with odds, remember that "odds against" means the ratio of unfavorable to favorable outcomes, while "odds in favor" is the ratio of favorable to unfavorable outcomes.

A jar on your desk contains twelve black, eight red, ten yellow, and five green jelly beans. You pick a jelly bean without looking. What are the odds against picking a yellow jelly bean?

Determine the odds against picking a yellow jelly bean from a jar containing twelve black, eight red, ten yellow, and five green jelly beans. This problem involves probability calculations and understanding of odds, suitable 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