Problem Analysis:
The problem involves a bag containing marbles of different colors. The distribution of the marbles is as follows:
-
Red: 4 marbles
-
Green: 3 marbles
-
Yellow: 1 marble
-
Blue: 1 marble
The total number of marbles in the bag is:
\[
4 + 3 + 1 + 1 = 9
\]
We need to answer five questions based on this distribution. Let's solve each question step by step.
---
Question 1: Which color marble is most likely to be drawn from the bag?
To determine which color marble is most likely to be drawn, we compare the number of marbles of each color:
- Red: 4 marbles
- Green: 3 marbles
- Yellow: 1 marble
- Blue: 1 marble
Since red has the highest count (4 marbles), it is the most likely color to be drawn.
Answer:
\[
\boxed{\text{Red}}
\]
---
Question 2: What is the probability of drawing the green marble from the bag?
The probability of drawing a green marble is calculated as:
\[
\text{Probability} = \frac{\text{Number of green marbles}}{\text{Total number of marbles}}
\]
Substituting the values:
\[
\text{Probability} = \frac{3}{9} = \frac{1}{3}
\]
Answer:
\[
\boxed{\frac{1}{3}}
\]
---
Question 3: What is the probability of drawing a yellow marble?
The probability of drawing a yellow marble is calculated as:
\[
\text{Probability} = \frac{\text{Number of yellow marbles}}{\text{Total number of marbles}}
\]
Substituting the values:
\[
\text{Probability} = \frac{1}{9}
\]
Answer:
\[
\boxed{\frac{1}{9}}
\]
---
Question 4: Which two colors have the same probability of being drawn?
To determine which two colors have the same probability of being drawn, we calculate the probabilities for each color:
- Probability of drawing a red marble:
\[
\frac{4}{9}
\]
- Probability of drawing a green marble:
\[
\frac{3}{9} = \frac{1}{3}
\]
- Probability of drawing a yellow marble:
\[
\frac{1}{9}
\]
- Probability of drawing a blue marble:
\[
\frac{1}{9}
\]
From the calculations, we see that the probabilities of drawing a yellow marble and a blue marble are both \(\frac{1}{9}\).
Answer:
\[
\boxed{\text{Yellow and Blue}}
\]
---
Question 5: What is the probability of drawing a marble that is not red?
To find the probability of drawing a marble that is not red, we first determine the number of marbles that are not red:
- Total marbles: 9
- Red marbles: 4
- Marbles that are not red: \(9 - 4 = 5\)
The probability of drawing a marble that is not red is:
\[
\text{Probability} = \frac{\text{Number of marbles that are not red}}{\text{Total number of marbles}}
\]
Substituting the values:
\[
\text{Probability} = \frac{5}{9}
\]
Answer:
\[
\boxed{\frac{5}{9}}
\]
---
Final Answers:
1. \(\boxed{\text{Red}}\)
2. \(\boxed{\frac{1}{3}}\)
3. \(\boxed{\frac{1}{9}}\)
4. \(\boxed{\text{Yellow and Blue}}\)
5. \(\boxed{\frac{5}{9}}\)
Parent Tip: Review the logic above to help your child master the concept of probability marbles worksheet.
