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

This topic focuses on probability and counting involving multiple events. The problems require calculating the probability of drawing specific shapes (circles or squares) from different sets of bags containing shapes of various colors. It involves determining the correct equation to represent each scenario, with multiple choice answers provided for each problem. The equations involve fractions and the multiplication of probabilities. This practice session helps enhance skills in understanding and calculating probabilities from complex, multi-event scenarios.

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 Equation Worksheet

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