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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

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

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Math worksheet on 'Probability - Shapes, Two Sets of One Shape, Two Colors - Pick Two by Color, To Fraction Equation (Level 1)'. Part of a broader unit on 'Probability and Counting - Multiple Events - Intro' Learn online: app.mobius.academy/math/units/probability_counting_multiple_event_intro/
1
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 3 over 6 times 3 over 5
b A LaTex expression showing 7 over 11 times 2 over 13
c A LaTex expression showing 6 over 15 times 2 over 13
d A LaTex expression showing 1 over 9 times 3 over 7
e A LaTex expression showing 5 over 11 times 5 over 11
f A LaTex expression showing 1 over 9 times 6 over 4
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 5 times 2 over 3
b A LaTex expression showing 1 over 7 times 5 over 4
c A LaTex expression showing 4 over 5 times 2 over 5
d A LaTex expression showing 2 over 6 times 7 over 11
e A LaTex expression showing 5 over 3 times 6 over 8
f A LaTex expression showing 2 over 2 times 3 over 5
3
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 2 over 2 times 3 over 4
b A LaTex expression showing 1 over 7 times 4 over 6
c A LaTex expression showing 5 over 3 times 7 over 9
d A LaTex expression showing 1 over 5 times 5 over 7
e A LaTex expression showing 3 over 5 times 4 over 10
f A LaTex expression showing 1 over 6 times 5 over 3
4
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 4 times 3 over 5
b A LaTex expression showing 5 over 9 times 3 over 6
c A LaTex expression showing 5 over 11 times 4 over 6
d A LaTex expression showing 2 over 6 times 6 over 4
e A LaTex expression showing 4 over 10 times 1 over 5
f A LaTex expression showing 1 over 10 times 6 over 13
5
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 4 over 8 times 2 over 3
b A LaTex expression showing 3 over 4 times 3 over 5
c A LaTex expression showing 2 over 13 times 3 over 5
d A LaTex expression showing 3 over 5 times 1 over 2
e A LaTex expression showing 7 over 3 times 1 over 7
f A LaTex expression showing 4 over 10 times 3 over 4
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 2 over 6 times 2 over 7
b A LaTex expression showing 5 over 6 times 2 over 7
c A LaTex expression showing 1 over 6 times 3 over 3
d A LaTex expression showing 2 over 2 times 1 over 2
e A LaTex expression showing 5 over 4 times 3 over 4
f A LaTex expression showing 5 over 6 times 2 over 6
7
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 4 over 6
b A LaTex expression showing 6 over 14 times 5 over 12
c A LaTex expression showing 3 over 3 times 2 over 5
d A LaTex expression showing 5 over 14 times 8 over 11
e A LaTex expression showing 4 over 11 times 8 over 6
f A LaTex expression showing 4 over 10 times 8 over 8