A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. You ask a friend to pick one without looking. What is the probability that he picks one that is not red?

To calculate the probability of picking a marble that is **not red**, we need to follow these steps:

1. **Total number of marbles**:  
   The bag contains:
   - 5 blue marbles
   - 4 red marbles
   - 3 orange marbles
   
   The total number of marbles is:
   \[
   5 + 4 + 3 = 12
   \]

2. **Number of marbles that are not red**:  
   The marbles that are not red are the blue and orange ones:
   \[
   5 \, (\text{blue}) + 3 \, (\text{orange}) = 8
   \]

3. **Probability formula**:  
   The probability \( P(\text{not red}) \) is the number of favorable outcomes (not red) divided by the total number of outcomes (total marbles):
   \[
   P(\text{not red}) = \frac{8}{12} = \frac{2}{3}
   \]

Thus, the probability of picking a marble that is **not red** is \( \frac{2}{3} \).

Would you like more details, or do you have any questions?

Here are 5 related questions to explore further:

1. What is the probability of picking a red marble?
2. If you pick two marbles without replacement, what is the probability that both are blue?
3. What is the probability of picking either a blue or an orange marble?
4. If one marble is picked, what is the probability that it is either red or orange?
5. If you add 2 more red marbles, how does the probability of not picking red change?

**Tip**: Probabilities can also be expressed as percentages by multiplying the fraction by 100.

Calculate the probability of picking a non-red marble from a bag containing 5 blue, 4 red, and 3 orange marbles. This problem teaches basic probability concepts, including how to use fractions to determine outcomes. Suitable for students in Grades 5-7.

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