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

This math topic focuses on probability and counting involving multiple events. The problems require calculating the probability of drawing shapes (squares and circles) of two colors from two sets of bags. Each question presents different scenarios using varied combinations of shapes and colors, and students express their answers as fractions. This set of problems is designed to enhance understanding of basic probability concepts and fraction calculations within a context of shape and color selection from sets.

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, To Fraction Worksheet

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Probability - Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Shape, To Fraction
1
What is the chance of drawing a circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 6
d A LaTex expression showing 0
e A LaTex expression showing 1 over 2
2
What is the chance of drawing a square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 4
b A LaTex expression showing 27 over 27
c A LaTex expression showing 2 over 5
d A LaTex expression showing 3 over 4
e A LaTex expression showing 5 over 10
f A LaTex expression showing 1 over 10
3
What is the chance of drawing a square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 5
b A LaTex expression showing 2 over 10
c A LaTex expression showing 90 over 90
d A LaTex expression showing 5 over 6
e A LaTex expression showing 2 over 3
f A LaTex expression showing 1 over 6
4
What is the chance of drawing a circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 3
b A LaTex expression showing 5 over 10
c A LaTex expression showing 10 over 10
d A LaTex expression showing 6 over 10
e A LaTex expression showing 16 over 30
f A LaTex expression showing 6 over 6
5
What is the chance of drawing a circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 4 over 8
b A LaTex expression showing 3 over 5
c A LaTex expression showing 2 over 3
d A LaTex expression showing 2 over 6
e A LaTex expression showing 60 over 60
f A LaTex expression showing 2 over 4
6
What is the chance of drawing a square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 2
b A LaTex expression showing 3 over 6
c A LaTex expression showing 72 over 72
d A LaTex expression showing 2 over 5
e A LaTex expression showing 1 over 5
f A LaTex expression showing 2 over 3
7
What is the chance of drawing a square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 0
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1 over 5
8
What is the chance of drawing a square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 1 over 4
b A LaTex expression showing 3 over 4
c A LaTex expression showing 70 over 70
d A LaTex expression showing 2 over 3
e A LaTex expression showing 1 over 8
f A LaTex expression showing 1 over 5