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

This math topic focuses on advanced probability skills, combining counting principles and probability calculations through practical examples. It involves calculating the probability of selecting shapes of various colors (black, pink, brown, yellow, white) from two sets of bags which contain different shapes and colors. Participants practice expressing these probabilities as fractional equations, advancing their skills in evaluating multiple events and factors, which is essential for understanding real-world probability scenarios. Each problem presents different shapes and scenarios to challenge understanding and application of these probability principles.

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

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

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