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

This math topic focuses on computing probabilities of drawing specific combinations of shapes from a bag containing multiple shapes of different colors. Each problem presents a scenario in which shapes of certain colors need to be picked in succession, and the task is to determine the equation representing the probability of such events. The problems test the application of probability rules and fraction multiplication skills in the context of counting and probability distribution across multiple events.

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

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

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