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

This math topic focuses on advanced probability concepts involving multiple events and counting. The exercises involve calculating the probabilities of drawing certain colored shapes from multiple sets or bags. Skills practiced include building fraction equations from described scenarios and choosing the correct answer from multiple options. Each question demands a deep understanding of how to apply probability rules to real-world-like math problems, specifically focusing on fraction multiplication and event independence.

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

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

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