To solve this problem, we need to draw marbles in jars so that the chance (probability) of picking a specific color matches the fraction given.
Here is the step-by-step logic for each jar:
1. The probability of picking red is $\frac{3}{9}$
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Denominator (bottom number): 9. This means the total number of marbles in the jar must be
9.
*
Numerator (top number): 3. This means
3 of those marbles must be
Red.
*
The rest: The other 6 marbles can be any other color (like Blue or Green), just not Red.
*
Action: Draw 9 circles. Color 3 of them Red.
2. The probability of picking green is $\frac{1}{3}$
*
Denominator: 3. This means the total number of marbles should be
3 (or a multiple of 3, like 6 or 9, but 3 is simplest).
*
Numerator: 1. This means
1 marble must be
Green.
*
Action: Draw 3 circles. Color 1 of them Green. Leave the other 2 as a different color.
3. The probability of picking yellow is $\frac{4}{14}$
*
Denominator: 14. This means the total number of marbles must be
14.
*
Numerator: 4. This means
4 of those marbles must be
Yellow.
*
The rest: The other 10 marbles can be any color except Yellow.
*
Action: Draw 14 circles. Color 4 of them Yellow.
4. The probability of picking blue is $\frac{1}{4}$
*
Denominator: 4. This means the total number of marbles should be
4.
*
Numerator: 1. This means
1 marble must be
Blue.
*
Action: Draw 4 circles. Color 1 of them Blue. Leave the other 3 as a different color.
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Final Answer
Here are the instructions for drawing the marbles in each jar:
*
Jar 1 (Red $\frac{3}{9}$): Draw
9 marbles total. Color
3 of them
Red.
*
Jar 2 (Green $\frac{1}{3}$): Draw
3 marbles total. Color
1 of them
Green.
*
Jar 3 (Yellow $\frac{4}{14}$): Draw
14 marbles total. Color
4 of them
Yellow.
*
Jar 4 (Blue $\frac{1}{4}$): Draw
4 marbles total. Color
1 of them
Blue.
Parent Tip: Review the logic above to help your child master the concept of probability marbles worksheet.
