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Probability Calculation - nCm Notation - Simple Division (Level 1)

This math topic focuses on calculating probabilities using combinations (denoted as nCm or "n choose m") and simple division. The problems involve evaluating expressions to determine probability values and require an understanding of permutations and combinations. The complexity of the questions revolves around executing mathematical reasoning through manipulating factorial-based formulas which define combinations, and then simplifying fractions to ascertain the resultant probabilities. Each question provides multiple-choice answers, requiring the application of combinatory calculations to select the correct answer.

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Probability Calculation - nCm Notation - Simple Division

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


What is the value of this probability expression?

6C62C2\frac{_6\text{C}_6}{_2\text{C}_2}

Probability Calculation - nCm Notation - Simple Division Worksheet

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Math worksheet on 'Probability Calculation - nCm Notation - Simple Division (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_intro/
1
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 2 }{ sub 6 \text{C} sub 4 }
a A LaTex expression showing 40 over 3
b A LaTex expression showing 10
c A LaTex expression showing 2 over 3
d A LaTex expression showing 5 over 3
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 2 }{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 5 over 9
b A LaTex expression showing 5 over 3
c A LaTex expression showing 10
d A LaTex expression showing 1 over 6
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 5 }{ sub 5 \text{C} sub 4 }
a A LaTex expression showing 1
b A LaTex expression showing 1 over 15
c A LaTex expression showing 1 over 5
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 3 \text{C} sub 2 }
a A LaTex expression showing 2
b A LaTex expression showing 10 over 3
c A LaTex expression showing 1
d A LaTex expression showing 5
e A LaTex expression showing 300
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 6 }{ sub 6 \text{C} sub 6 }
a A LaTex expression showing 15
b A LaTex expression showing 1
c A LaTex expression showing 1 over 5
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{C} sub 3 }{ sub 4 \text{C} sub 3 }
a A LaTex expression showing 20
b A LaTex expression showing 1 over 10
c A LaTex expression showing 4
d A LaTex expression showing 1
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 2 }{ sub 3 \text{C} sub 3 }
a A LaTex expression showing 10
b A LaTex expression showing 15
c A LaTex expression showing 5
d A LaTex expression showing 6
e A LaTex expression showing 1 over 2