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

This math topic focuses on probability counting in various scenarios involving multiple events. The exercises involve calculating the chance of drawing specific shapes and colors from two sets comprising different shapes and two colors. Each problem requires the learner to determine the probability of picking a particular colored shape (like a red square or a green circle) at random from the given bags, expressing the result as a fraction. This topic helps strengthen understanding of probability concepts, simple counting principles, and reinforces the fraction representation of probabilities.

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 Worksheet

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Probability - Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Shape and Color, To Fraction
1
What is the chance of drawing a black circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 8
b A LaTex expression showing 2 over 36
c A LaTex expression showing 5 over 6
d A LaTex expression showing 5 over 10
e A LaTex expression showing 4 over 5
f A LaTex expression showing 1 over 2
2
What is the chance of drawing a white square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 5
b A LaTex expression showing 4 over 6
c A LaTex expression showing 4 over 8
d A LaTex expression showing 5 over 8
e A LaTex expression showing 4 over 4
f A LaTex expression showing 6 over 6
3
What is 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 2
b A LaTex expression showing 1 over 6
c A LaTex expression showing 6 over 10
d A LaTex expression showing 2 over 4
e A LaTex expression showing 4 over 15
f A LaTex expression showing 3 over 3
4
What is the chance of drawing a white circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 10
b A LaTex expression showing 4 over 8
c A LaTex expression showing 3 over 6
d A LaTex expression showing 2 over 28
e A LaTex expression showing 3 over 5
f A LaTex expression showing 2 over 2
5
What is the chance of drawing a green square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 3
c A LaTex expression showing 6 over 20
d A LaTex expression showing 3 over 4
e A LaTex expression showing 8 over 8
f A LaTex expression showing 3 over 6
6
What is the chance of drawing a black circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 2
c A LaTex expression showing 2 over 3
d A LaTex expression showing 9 over 10
e A LaTex expression showing 6 over 24
f A LaTex expression showing 4 over 4
7
What is the chance of drawing a pink circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 2
b A LaTex expression showing 4 over 5
c A LaTex expression showing 4 over 4
d A LaTex expression showing 6 over 6
e A LaTex expression showing 3 over 20
f A LaTex expression showing 5 over 8
8
What is the chance of drawing a red circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 4
b A LaTex expression showing 5 over 5
c A LaTex expression showing 6 over 6
d A LaTex expression showing 3 over 5
e A LaTex expression showing 6 over 32
f A LaTex expression showing 1 over 3