Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Color, To Fraction Equation (Level 1)

This math topic focuses on probability and counting concepts related to multiple events. It includes problems where students calculate the probability of drawing specific colored shapes from two groups of colored shapes. The problems involve converting these probability situations into fractional equations. Each question provides multiple choices, expressed as LaTeX equations, for students to select the correct probability calculation. This skill set is part of an introductory unit on probability and counting involving multiple events.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Probability - Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Color, To Fraction Equation Worksheet

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Probability - Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Color, To Fraction Equation
1
What is the equation for the chance of drawing a black shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 4 over 10 times 1 over 10
b A LaTex expression showing 4 over 10 times 3 over 4
c A LaTex expression showing 3 over 4 times 1 over 3
d A LaTex expression showing 2 over 3 times 2 over 2
e A LaTex expression showing 2 over 2 times 3 over 8
f A LaTex expression showing 2 over 8 times 2 over 5
2
What is the equation for the chance of drawing a green shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 5 over 6 times 6 over 8
b A LaTex expression showing 2 over 2 times 2 over 5
c A LaTex expression showing 1 over 4 times 5 over 5
d A LaTex expression showing 1 over 2 times 3 over 3
e A LaTex expression showing 2 over 3 times 3 over 6
f A LaTex expression showing 2 over 5 times 4 over 6
3
What is the equation for the chance of drawing a blue shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 2 times 5 over 8
b A LaTex expression showing 4 over 5 times 1 over 6
c A LaTex expression showing 5 over 8 times 1 over 8
d A LaTex expression showing 3 over 6 times 3 over 5
e A LaTex expression showing 2 over 3 times 2 over 2
f A LaTex expression showing 4 over 5 times 1 over 4
4
What is the equation for the chance of drawing a green shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 7 over 8 times 3 over 5
b A LaTex expression showing 4 over 10 times 3 over 10
c A LaTex expression showing 5 over 6 times 3 over 4
d A LaTex expression showing 3 over 3 times 1 over 6
e A LaTex expression showing 1 over 2 times 3 over 3
f A LaTex expression showing 2 over 3 times 1 over 10
5
What is the equation for the chance of drawing a green shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 5 times 3 over 8
b A LaTex expression showing 2 over 6 times 4 over 6
c A LaTex expression showing 4 over 4 times 1 over 3
d A LaTex expression showing 1 over 10 times 1 over 3
e A LaTex expression showing 1 over 4 times 1 over 2
f A LaTex expression showing 4 over 5 times 2 over 4
6
What is the equation for the chance of drawing a green shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 2 times 1 over 2
b A LaTex expression showing 2 over 5 times 2 over 3
c A LaTex expression showing 5 over 6 times 3 over 4
d A LaTex expression showing 1 over 4 times 1 over 4
e A LaTex expression showing 2 over 3 times 2 over 2
f A LaTex expression showing 1 over 8 times 5 over 8
7
What is the equation for the chance of drawing a red shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 5 times 2 over 6
b A LaTex expression showing 9 over 10 times 1 over 2
c A LaTex expression showing 2 over 2 times 1 over 10
d A LaTex expression showing 1 over 2 times 4 over 6
e A LaTex expression showing 5 over 6 times 2 over 2
f A LaTex expression showing 8 over 8 times 5 over 8
8
What is the equation for the chance of drawing a yellow shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 5 times 3 over 10
b A LaTex expression showing 1 over 5 times 4 over 5
c A LaTex expression showing 4 over 6 times 5 over 5
d A LaTex expression showing 2 over 2 times 2 over 4
e A LaTex expression showing 4 over 10 times 4 over 6
f A LaTex expression showing 1 over 5 times 1 over 3