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

This math topic covers probability calculation skills, specifically focusing on events involving drawing shapes of different colors from two sets. Problems require formulating fractional equations to represent the probability of drawing specific colored shapes from the bags. It involves various combinations of colors like brown, yellow, green, gray, and white, testing the ability to calculate and simplify fractional probabilities for multiple interdependent events. Additionally, each question provides multiple choice answers, demanding the evaluation of fractional products to determine correct probabilities. The subject enriches understanding of probability concepts within a structured multi-event context.

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 blue shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 6 over 6 times 3 over 3
b A LaTex expression showing 3 over 7 times 1 over 2
c A LaTex expression showing 3 over 8 times 2 over 8
d A LaTex expression showing 1 over 5 times 2 over 8
e A LaTex expression showing 6 over 8 times 3 over 3
f A LaTex expression showing 4 over 8 times 2 over 2
2
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 4 over 10 times 4 over 5
b A LaTex expression showing 1 over 2 times 1 over 5
c A LaTex expression showing 3 over 10 times 2 over 5
d A LaTex expression showing 2 over 5 times 2 over 6
e A LaTex expression showing 2 over 8 times 3 over 5
f A LaTex expression showing 2 over 6 times 3 over 3
3
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 1 over 5 times 1 over 2
b A LaTex expression showing 3 over 3 times 5 over 8
c A LaTex expression showing 1 over 2 times 6 over 10
d A LaTex expression showing 2 over 5 times 4 over 4
e A LaTex expression showing 2 over 6 times 2 over 6
f A LaTex expression showing 1 over 3 times 3 over 8
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 1 over 8 times 2 over 8
b A LaTex expression showing 2 over 4 times 2 over 2
c A LaTex expression showing 5 over 5 times 4 over 10
d A LaTex expression showing 2 over 2 times 2 over 10
e A LaTex expression showing 3 over 8 times 1 over 2
f A LaTex expression showing 4 over 10 times 1 over 3
5
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 1 over 2 times 1 over 4
b A LaTex expression showing 8 over 10 times 7 over 10
c A LaTex expression showing 4 over 8 times 2 over 5
d A LaTex expression showing 1 over 3 times 1 over 6
e A LaTex expression showing 4 over 8 times 1 over 3
f A LaTex expression showing 1 over 3 times 5 over 5
6
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 6 over 10 times 1 over 5
b A LaTex expression showing 5 over 8 times 2 over 3
c A LaTex expression showing 4 over 10 times 7 over 10
d A LaTex expression showing 3 over 7 times 3 over 4
e A LaTex expression showing 4 over 5 times 4 over 5
f A LaTex expression showing 7 over 8 times 3 over 3
7
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 3
b A LaTex expression showing 1 over 2 times 4 over 5
c A LaTex expression showing 2 over 6 times 4 over 6
d A LaTex expression showing 2 over 8 times 7 over 10
e A LaTex expression showing 1 over 6 times 5 over 5
f A LaTex expression showing 2 over 2 times 2 over 3
8
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 1 over 4 times 4 over 6
b A LaTex expression showing 3 over 3 times 2 over 4
c A LaTex expression showing 6 over 6 times 3 over 5
d A LaTex expression showing 4 over 10 times 5 over 6
e A LaTex expression showing 2 over 3 times 1 over 5
f A LaTex expression showing 3 over 4 times 5 over 5