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

This topic focuses on calculating probabilities involving multiple events, specifically related to drawing shapes of different colors from two sets. The skills practiced include formulating equations to represent the likelihood of drawing shapes based on color (white, gray, green, blue, black) from two distinct bags. Each question provides multiple choice equations (represented in LaTeX expressions) for students to select the correct probability calculation. This topic enhances understanding of compound probability, fractional representation of probabilities, and abstract reasoning about multiple events within probability theory.

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

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

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What is the equation for the chance of drawing a black shape at random from both bags?

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

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Math worksheet on 'Probability - Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Color, To Fraction Equation (Level 2)'. Part of a broader unit on 'Probability and Counting - Multiple Events - Practice' Learn online: app.mobius.academy/math/units/probability_counting_multiple_event_practice/
1
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 5 over 8 times 3 over 6
b A LaTex expression showing 1 over 5 times 1 over 7
c A LaTex expression showing 5 over 11 times 5 over 12
d A LaTex expression showing 1 over 15 times 2 over 6
e A LaTex expression showing 3 over 9 times 2 over 8
f A LaTex expression showing 4 over 18 times 6 over 7
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 9 over 6 times 1 over 3
b A LaTex expression showing 9 over 16 times 1 over 3
c A LaTex expression showing 5 over 9 times 3 over 5
d A LaTex expression showing 5 over 7 times 2 over 5
e A LaTex expression showing 5 over 10 times 5 over 12
f A LaTex expression showing 7 over 14 times 1 over 8
3
What is the equation for the chance of drawing a gray shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 5 times 1 over 6
b A LaTex expression showing 1 over 3 times 2 over 4
c A LaTex expression showing 2 over 4 times 4 over 7
d A LaTex expression showing 3 over 6 times 1 over 3
e A LaTex expression showing 2 over 4 times 4 over 11
f A LaTex expression showing 1 over 9 times 4 over 7
4
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 9 over 18 times 2 over 3
b A LaTex expression showing 5 over 21 times 1 over 11
c A LaTex expression showing 2 over 13 times 4 over 5
d A LaTex expression showing 17 over 3 times 3 over 9
e A LaTex expression showing 9 over 10 times 2 over 5
f A LaTex expression showing 2 over 17 times 1 over 9
5
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 3 over 8 times 5 over 8
b A LaTex expression showing 3 over 14 times 4 over 11
c A LaTex expression showing 5 over 11 times 6 over 4
d A LaTex expression showing 5 over 5 times 7 over 3
e A LaTex expression showing 3 over 17 times 8 over 15
f A LaTex expression showing 4 over 5 times 4 over 13
6
What is the equation for the chance of drawing a brown shape at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 6 times 5 over 8
b A LaTex expression showing 4 over 10 times 7 over 10
c A LaTex expression showing 1 over 15 times 9 over 14
d A LaTex expression showing 6 over 7 times 3 over 18
e A LaTex expression showing 5 over 3 times 5 over 4
f A LaTex expression showing 2 over 6 times 8 over 8
7
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 7 over 20 times 1 over 6
b A LaTex expression showing 1 over 14 times 1 over 9
c A LaTex expression showing 4 over 8 times 1 over 4
d A LaTex expression showing 2 over 9 times 1 over 7
e A LaTex expression showing 6 over 14 times 1 over 9
f A LaTex expression showing 3 over 9 times 0