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 Worksheet

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Probability Calculation - nCm Notation - Simple Division
1
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 6 }{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 1
b A LaTex expression showing 1 over 6
c A LaTex expression showing 5 over 2
d A LaTex expression showing 1 over 60
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 5 }{ sub 6 \text{C} sub 3 }
a A LaTex expression showing 2 over 5
b A LaTex expression showing 6
c A LaTex expression showing 3 over 10
d A LaTex expression showing 3 over 50
e A LaTex expression showing 1 over 20
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 6 \text{C} sub 6 }
a A LaTex expression showing 18
b A LaTex expression showing 3
c A LaTex expression showing 1
d A LaTex expression showing 10
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{ sub 5 \text{C} sub 3 }
a A LaTex expression showing 1 over 10
b A LaTex expression showing 3 over 5
c A LaTex expression showing 1 over 9
d A LaTex expression showing 3
5
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 300
c A LaTex expression showing 5
d A LaTex expression showing 10 over 3
e A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 5 }{ sub 3 \text{C} sub 3 }
a A LaTex expression showing 1 over 20
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1
d A LaTex expression showing 1 over 100
e A LaTex expression showing 6
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 5 \text{C} sub 4 }
a A LaTex expression showing 3 over 5
b A LaTex expression showing 1 over 5
c A LaTex expression showing 10
d A LaTex expression showing 3
e A LaTex expression showing 5 over 2
8
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 5
c A LaTex expression showing 1 over 15