There is an equal amount of yellow, blue, green, and red marbles in a bag of 24 marbles. If Ed draws 12 marbles out of the bag with replacement, predict how many of the 12 marbles drawn should be green.

24 12 3 1

Since there are an equal number of yellow, blue, green, and red marbles in a bag of 24 marbles, each color represents one-fourth of the total marbles.

### Step-by-step explanation:

1. **Determine the probability of drawing a green marble:**
   Since the marbles are equally divided among four colors, the probability of drawing a green marble is:
   \[
   P(\text{green}) = \frac{1}{4}
   \]
   
2. **Predict the expected number of green marbles in 12 draws:**
   Since Ed draws 12 marbles with replacement, each draw is independent, and the probability of drawing a green marble remains constant at \( \frac{1}{4} \) for each draw. The expected number of green marbles is the product of the probability of drawing a green marble and the total number of draws:
   \[
   \text{Expected number of green marbles} = 12 \times \frac{1}{4} = 3
   \]

Thus, **Ed should expect to draw 3 green marbles** out of 12.

Would you like more details or have any questions?

### Related questions:
1. How does the prediction change if there were 30 marbles instead of 24?
2. What if Ed draws without replacement—how would that affect the prediction?
3. What is the probability that Ed draws exactly 4 green marbles out of 12 draws?
4. How would the outcome differ if there were more than four colors of marbles in the bag?
5. Can you calculate the variance and standard deviation for the number of green marbles Ed is expected to draw?

### Tip:
When dealing with probabilities involving independent events, multiplication of probabilities for each event gives you the likelihood of a particular outcome.

There is an equal amount of yellow, blue, green, and red marbles in a bag of 24 marbles. If Ed draws 12 marbles out of the bag with replacement, predict how many of the 12 marbles drawn should be green.

Learn how to predict the number of green marbles drawn from a bag of 24 marbles with equal colors in 12 draws with replacement. This problem covers key probability concepts and the calculation of expected values, suitable for students in Grades 6-8.

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