A box contains 4 blue marbles, 3 green marbles, and 2 red marbles. What is the probability of randomly selecting a green marble?

To find the probability of randomly selecting a green marble from the box, we follow these steps:

1. **Total number of marbles**: 
   - Blue marbles = 4
   - Green marbles = 3
   - Red marbles = 2
   - Total number of marbles = \( 4 + 3 + 2 = 9 \)

2. **Number of favorable outcomes**: 
   The favorable outcomes refer to selecting a green marble, and there are 3 green marbles.

3. **Probability formula**:
   The probability of an event is given by:

   \[
   P(\text{green}) = \frac{\text{Number of green marbles}}{\text{Total number of marbles}} = \frac{3}{9}
   \]

4. **Simplify the fraction**:
   \[
   P(\text{green}) = \frac{3}{9} = \frac{1}{3}
   \]

Therefore, the probability of randomly selecting a green marble is \( \frac{1}{3} \).

Would you like more details or have any questions? 

Here are 5 related questions to expand this topic:
1. What is the probability of selecting a blue marble?
2. What is the probability of selecting a red marble?
3. What is the probability of selecting either a blue or green marble?
4. If two marbles are selected, what is the probability that both are green?
5. What is the probability of not selecting a green marble?

**Tip**: Always simplify probability fractions to their lowest terms for clarity.

Learn how to calculate the probability of randomly selecting a green marble from a box containing 4 blue, 3 green, and 2 red marbles. This step-by-step solution explains key concepts like basic probability and fraction simplification. Suitable for students in Grades 5-7.

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