If a bag contains 3 red marbles and 2 blue marbles, what is the probability of picking a red ball at random?

To find the probability of picking a red marble at random from a bag containing 3 red marbles and 2 blue marbles, we follow these steps:

1. **Total marbles in the bag**:  
   \( 3 \) red marbles + \( 2 \) blue marbles = \( 5 \) marbles total.

2. **Number of favorable outcomes** (picking a red marble):  
   There are \( 3 \) red marbles.

3. **Probability formula**:  
   Probability \( P \) is given by:
   \[
   P(\text{Red}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{3}{5}
   \]

Therefore, the probability of picking a red marble is \( \frac{3}{5} \), or 0.6.

Would you like more details or further explanation?

Here are 5 related questions to consider:
1. What is the probability of picking a blue marble?
2. What is the probability of not picking a red marble?
3. If one red marble is removed, what is the new probability of picking a red marble?
4. What is the probability of picking two red marbles consecutively without replacement?
5. How would the probabilities change if more marbles were added to the bag?

**Tip**: When calculating probabilities, always make sure you correctly identify the total number of possible outcomes and the number of favorable outcomes.

Find the probability of picking a red marble from a bag with 3 red and 2 blue marbles. This problem introduces basic probability concepts, favorable outcomes, and total outcomes. Perfect for students in Grades 5-7.

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