HomePricing

Probability - 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.

View Unit

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is the equation for the chance of drawing a yellow circle at random from both bags?

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

Mobius Math Club logo
Math worksheet on 'Probability - Shapes, Two Sets of Two Shapes, Two Colors - Pick Two by Shape and Color, To Fraction Equation (Level 2)'. Part of a broader unit on 'Probability and Counting - Multiple Events - Practice' Learn online: app.mobius.academy/math/units/probability_counting_multiple_event_practice/
1
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 4 over 16 times 9 over 20
b A LaTex expression showing 1 over 6 times 9 over 3
c A LaTex expression showing 5 over 6 times 8 over 11
d A LaTex expression showing 3 over 10 times 4 over 10
e A LaTex expression showing 1 over 14 times 6 over 17
f A LaTex expression showing 5 over 12 times 2 over 4
2
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 2 over 10 times 6 over 11
b A LaTex expression showing 3 over 4 times 4 over 9
c A LaTex expression showing 3 over 7 times 8 over 19
d A LaTex expression showing 4 over 11 times 2 over 9
e A LaTex expression showing 7 over 9 times 8 over 3
f A LaTex expression showing 3 over 3 times 6 over 10
3
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 6 over 8 times 7 over 12
b A LaTex expression showing 8 over 16 times 3 over 7
c A LaTex expression showing 6 over 5 times 5 over 11
d A LaTex expression showing 4 over 13 times 3 over 17
e A LaTex expression showing 5 over 7 times 4 over 7
f A LaTex expression showing 9 over 13 times 8 over 8
4
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 7 over 5 times 4 over 7
b A LaTex expression showing 4 over 7 times 3 over 16
c A LaTex expression showing 5 over 11 times 5 over 16
d A LaTex expression showing 3 over 3 times 6 over 19
e A LaTex expression showing 3 over 4 times 3 over 9
f A LaTex expression showing 5 over 7 times 6 over 21
5
What is the equation for the chance of drawing a gray circle at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 7 over 3 times 5 over 18
b A LaTex expression showing 7 over 6 times 5 over 5
c A LaTex expression showing 1 over 7 times 2 over 10
d A LaTex expression showing 3 over 3 times 4 over 9
e A LaTex expression showing 3 over 6 times 7 over 11
f A LaTex expression showing 1 over 3 times 7 over 8
6
What is the equation for the chance of drawing a black square at random from both bags?
An svg image showing a math problem
a A LaTex expression showing 4 over 10 times 2 over 5
b A LaTex expression showing 7 over 9 times 3 over 11
c A LaTex expression showing 6 over 17 times 3 over 6
d A LaTex expression showing 6 over 4 times 3 over 11
e A LaTex expression showing 2 over 15 times 4 over 9
f A LaTex expression showing 7 over 6 times 5 over 9
7
What is the equation for 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 9 times 2 over 5
b A LaTex expression showing 2 over 7 times 3 over 7
c A LaTex expression showing 1 over 3 times 1 over 7
d A LaTex expression showing 2 over 6 times 2 over 4
e A LaTex expression showing 1 over 4 times 1 over 4
f A LaTex expression showing 2 over 3 times 3 over 9