A bag contains 12 blue, 5 yellow and 3 red marbles. Find the indicated probability or odds.


To solve the problem, we'll assume you're interested in finding the probability or odds of selecting a marble of a certain color from the bag.

### Total number of marbles:
- Blue marbles = 12
- Yellow marbles = 5
- Red marbles = 3
- **Total marbles** = \( 12 + 5 + 3 = 20 \)

### Probability of selecting a marble of a particular color:
The probability of an event occurring is calculated as:
\[
P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total outcomes}}
\]

#### 1. Probability of selecting a **blue** marble:
\[
P(\text{blue}) = \frac{12}{20} = \frac{3}{5}
\]

#### 2. Probability of selecting a **yellow** marble:
\[
P(\text{yellow}) = \frac{5}{20} = \frac{1}{4}
\]

#### 3. Probability of selecting a **red** marble:
\[
P(\text{red}) = \frac{3}{20}
\]

### Odds of selecting a marble of a particular color:
The odds in favor of an event occurring are given by the ratio of favorable outcomes to unfavorable outcomes.

#### 1. Odds of selecting a **blue** marble:
\[
\text{Odds(blue)} = \frac{12}{20 - 12} = \frac{12}{8} = \frac{3}{2}
\]

#### 2. Odds of selecting a **yellow** marble:
\[
\text{Odds(yellow)} = \frac{5}{20 - 5} = \frac{5}{15} = \frac{1}{3}
\]

#### 3. Odds of selecting a **red** marble:
\[
\text{Odds(red)} = \frac{3}{20 - 3} = \frac{3}{17}
\]

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

---

Here are 5 related questions to think about:
1. What is the probability of not selecting a blue marble?
2. What are the odds against selecting a red marble?
3. If 2 marbles are drawn one after the other without replacement, what is the probability that both are yellow?
4. What is the probability of drawing a blue or yellow marble?
5. How would the probabilities change if 2 more blue marbles were added to the bag?

**Tip:** When calculating odds, remember they are often expressed in the form of "favorable outcomes : unfavorable outcomes," not as a fraction.

A bag contains 12 blue, 5 yellow, and 3 red marbles. Find the indicated probability or odds.

Learn how to calculate the probability and odds of drawing blue, yellow, or red marbles from a bag containing 12 blue, 5 yellow, and 3 red marbles. This solution covers fundamental probability concepts, including how to calculate both probabilities and 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