Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Shape and Color, To Fraction Equation (Level 1)

This math topic focuses on probability counting involving shapes and colors from different sets. It explores calculating the probability of drawing a specific shape of a particular color from two sets, and expressing these probabilities as fraction equations. There are various problems that require determining the likelihood of selecting items like pink circles, white circles, green squares, blue circles, brown squares, and yellow squares, testing the student's ability to handle multiple events in probability. This forms part of an introductory unit on probability and counting multiple events.

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

more
View

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

Mobius Math Academy logo
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 black circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 4 over 10 times 4 over 5
b A LaTex expression showing 5 over 5 times 4 over 10
c A LaTex expression showing 2 over 2 times 1 over 10
d A LaTex expression showing 2 over 5 times 2 over 2
e A LaTex expression showing 4 over 8 times 1 over 8
f A LaTex expression showing 2 over 3 times 2 over 4
2
What is the equation for the chance of drawing a white circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 5 times 2 over 6
b A LaTex expression showing 3 over 3 times 2 over 6
c A LaTex expression showing 5 over 5 times 2 over 6
d A LaTex expression showing 2 over 8 times 4 over 6
e A LaTex expression showing 2 over 8 times 2 over 10
f A LaTex expression showing 3 over 5 times 3 over 3
3
What is the equation for the chance of drawing a blue square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 6 times 1 over 2
b A LaTex expression showing 1 over 3 times 1 over 2
c A LaTex expression showing 2 over 3 times 1 over 4
d A LaTex expression showing 1 over 6 times 1 over 10
e A LaTex expression showing 1 over 10 times 2 over 8
f A LaTex expression showing 1 over 2 times 1 over 5
4
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 1 over 2 times 3 over 5
b A LaTex expression showing 6 over 10 times 7 over 8
c A LaTex expression showing 3 over 4 times 5 over 5
d A LaTex expression showing 1 over 2 times 4 over 5
e A LaTex expression showing 4 over 6 times 1 over 2
f A LaTex expression showing 5 over 5 times 4 over 5
5
What is the equation for the chance of drawing a black circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 6 times 1 over 5
b A LaTex expression showing 2 over 3 times 1 over 3
c A LaTex expression showing 2 over 3 times 2 over 3
d A LaTex expression showing 1 over 5 times 2 over 4
e A LaTex expression showing 6 over 6 times 1 over 4
f A LaTex expression showing 6 over 6 times 3 over 6
6
What is the equation for the chance of drawing a white square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 3 over 6 times 0
b A LaTex expression showing 2 over 5 times 1 over 3
c A LaTex expression showing 4 over 6 times 1 over 8
d A LaTex expression showing 2 over 2 times 1 over 6
e A LaTex expression showing 3 over 4 times 1 over 3
f A LaTex expression showing 7 over 10 times 1 over 3
7
What is the equation for the chance of drawing a red square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 2 over 5 times 2 over 4
b A LaTex expression showing 1 over 2 times 5 over 6
c A LaTex expression showing 3 over 4 times 2 over 3
d A LaTex expression showing 4 over 6 times 1 over 4
e A LaTex expression showing 3 over 3 times 3 over 4
f A LaTex expression showing 1 over 6 times 3 over 5
8
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 1 over 4 times 2 over 2
b A LaTex expression showing 2 over 4 times 1 over 4
c A LaTex expression showing 2 over 2 times 2 over 2
d A LaTex expression showing 3 over 8 times 4 over 10
e A LaTex expression showing 1 over 5 times 2 over 3
f A LaTex expression showing 2 over 3 times 4 over 8