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Probability - 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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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 red 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 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 7 over 15 times 5 over 13
b A LaTex expression showing 4 over 10 times 3 over 5
c A LaTex expression showing 1 over 21 times 4 over 10
d A LaTex expression showing 7 over 7 times 7 over 3
e A LaTex expression showing 5 over 16 times 2 over 11
f A LaTex expression showing 8 over 22 times 4 over 7
2
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 4 over 12 times 3 over 8
b A LaTex expression showing 2 over 7 times 1 over 4
c A LaTex expression showing 3 over 3 times 2 over 10
d A LaTex expression showing 3 over 5 times 1 over 10
e A LaTex expression showing 5 over 5 times 1 over 3
f A LaTex expression showing 3 over 3 times 3 over 10
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 2 over 16 times 4 over 15
b A LaTex expression showing 9 over 20 times 6 over 14
c A LaTex expression showing 3 over 12 times 4 over 19
d A LaTex expression showing 3 over 10 times 9 over 16
e A LaTex expression showing 4 over 9 times 5 over 8
f A LaTex expression showing 5 over 7 times 3 over 7
4
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 3 over 7 times 6 over 18
b A LaTex expression showing 3 over 4 times 3 over 10
c A LaTex expression showing 6 over 5 times 4 over 6
d A LaTex expression showing 2 over 6 times 4 over 11
e A LaTex expression showing 1 over 7 times 2 over 15
f A LaTex expression showing 4 over 6 times 6 over 12
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 6 over 4 times 8 over 11
b A LaTex expression showing 4 over 4 times 12 over 21
c A LaTex expression showing 3 over 10 times 4 over 8
d A LaTex expression showing 3 over 4 times 6 over 10
e A LaTex expression showing 6 over 11 times 8 over 19
f A LaTex expression showing 2 over 4 times 4 over 18
6
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 9 over 7 times 1 over 5
b A LaTex expression showing 1 over 10 times 3 over 4
c A LaTex expression showing 2 over 8 times 2 over 3
d A LaTex expression showing 4 over 6 times 1 over 3
e A LaTex expression showing 8 over 11 times 2 over 3
f A LaTex expression showing 4 over 5 times 1 over 4
7
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 5 over 7 times 1 over 3
b A LaTex expression showing 3 over 4 times 3 over 4
c A LaTex expression showing 2 over 11 times 3 over 7
d A LaTex expression showing 2 over 8 times 1 over 4
e A LaTex expression showing 6 over 3 times 1 over 3
f A LaTex expression showing 3 over 7 times 1 over 2