Shapes, One Set of One Shape, Two Colors - Pick Two by Color, To Fraction Equation (Level 2)

This math topic focuses on probability counting exercises involving a bag containing a single shape type in multiple colors. The problems require determining the probability of drawing two shapes of the same color consecutively from the bag. Questions are structured to find equations that represent these probabilities, promoting a deeper understanding of multiple event probabilities and fraction operations. Each question provides various equation options, teaching students to calculate and select the correct fractional representations of probabilities based on the specific conditions given.

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

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Probability - Shapes, One Set of One Shape, Two Colors - Pick Two by Color, To Fraction Equation Worksheet

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Probability - Shapes, One Set of One Shape, Two Colors - Pick Two by Color, To Fraction Equation
1
What is the equation for the chance of drawing two white shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 2 over 7 times 1 over 6
b A LaTex expression showing 1 over 4 times 3 over 3
c A LaTex expression showing 1 over 5 times 1 over 5
d A LaTex expression showing 2 over 8 times 2 over 6
e A LaTex expression showing 2 over 10 times 2 over 10
f A LaTex expression showing 3 over 8 times 1 over 8
2
What is the equation for the chance of drawing two white shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 2 over 2 times 1 over 4
b A LaTex expression showing 2 over 6 times 1 over 8
c A LaTex expression showing 1 over 5 times 1 over 4
d A LaTex expression showing 1 over 4 times 1 over 5
e A LaTex expression showing 1 over 2 times 0
f A LaTex expression showing 2 over 2 times 1 over 10
3
What is the equation for the chance of drawing two black shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 3 over 6 times 2 over 3
b A LaTex expression showing 4 over 4 times 4 over 5
c A LaTex expression showing 1 over 3 times 2 over 5
d A LaTex expression showing 1 over 2 times 2 over 10
e A LaTex expression showing 4 over 7 times 3 over 6
f A LaTex expression showing 2 over 3 times 2 over 10
4
What is the equation for the chance of drawing two green shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 5 over 8 times 1 over 3
b A LaTex expression showing 5 over 5 times 2 over 8
c A LaTex expression showing 2 over 7 times 1 over 6
d A LaTex expression showing 1 over 10 times 2 over 2
e A LaTex expression showing 1 over 2 times 2 over 8
f A LaTex expression showing 3 over 3 times 1 over 3
5
What is the equation for the chance of drawing two yellow shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 4 over 4 times 1 over 3
b A LaTex expression showing 4 over 9 times 3 over 8
c A LaTex expression showing 2 over 8 times 2 over 5
d A LaTex expression showing 3 over 5 times 3 over 3
e A LaTex expression showing 3 over 6 times 2 over 4
f A LaTex expression showing 2 over 3 times 3 over 6
6
What is the equation for the chance of drawing two yellow shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 3 over 6 times 2 over 8
b A LaTex expression showing 5 over 8 times 1 over 2
c A LaTex expression showing 4 over 5 times 3 over 4
d A LaTex expression showing 1 over 3 times 3 over 3
e A LaTex expression showing 3 over 3 times 6 over 10
f A LaTex expression showing 3 over 3 times 2 over 10
7
What is the equation for the chance of drawing two white shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 8 over 8 times 3 over 4
b A LaTex expression showing 2 over 2 times 4 over 6
c A LaTex expression showing 5 over 8 times 1 over 3
d A LaTex expression showing 1 over 2 times 1 over 5
e A LaTex expression showing 6 over 7 times 5 over 6
f A LaTex expression showing 10 over 10 times 2 over 4
8
What is the equation for the chance of drawing two pink shapes in a row at random from this bag?
An svg image showing a math problem
a A LaTex expression showing 5 over 5 times 7 over 8
b A LaTex expression showing 4 over 5 times 6 over 8
c A LaTex expression showing 2 over 2 times 2 over 2
d A LaTex expression showing 5 over 7 times 4 over 6
e A LaTex expression showing 3 over 4 times 8 over 8
f A LaTex expression showing 4 over 8 times 2 over 2