This math topic focuses on understanding and calculating probabilities using the binomial coefficient, often denoted as nCm or "n choose m." It covers the evaluation of expressions like `1 over nCm` for various values of n and m. The problems are structured to assess the ability to compute the binomial coefficient and apply it to solve probability queries. Each question presents a specific `nCm` computation, asking for the correct evaluation from multiple choice answers. This topic forms part of a broader unit on probability, statistics, permutations, and combinations.

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Probability Calculation - nCm Notation - One Over Simple Single Worksheet

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Probability Calculation - nCm Notation - One Over Simple Single
1
What is the value of this probability expression?
A LaTex expression showing 1 over sub 6 \text{C sub 5 }
a A LaTex expression showing 25 over 6
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 90
2
What is the value of this probability expression?
A LaTex expression showing 1 over sub 6 \text{C sub 6 }
a A LaTex expression showing 6
b A LaTex expression showing 3
c A LaTex expression showing 1
d A LaTex expression showing 1 over 10
3
What is the value of this probability expression?
A LaTex expression showing 1 over sub 5 \text{C sub 4 }
a A LaTex expression showing 2
b A LaTex expression showing 1 over 15
c A LaTex expression showing 1
d A LaTex expression showing 1 over 5
4
What is the value of this probability expression?
A LaTex expression showing 1 over sub 5 \text{C sub 3 }
a A LaTex expression showing 3 over 5
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 20
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 60
5
What is the value of this probability expression?
A LaTex expression showing 1 over sub 4 \text{C sub 3 }
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1 over 10
c A LaTex expression showing 5 over 4
d A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing 1 over sub 2 \text{C sub 2 }
a A LaTex expression showing 100
b A LaTex expression showing 1
c A LaTex expression showing 1 over 15
d A LaTex expression showing 10
e A LaTex expression showing 15
7
What is the value of this probability expression?
A LaTex expression showing 1 over sub 6 \text{C sub 4 }
a A LaTex expression showing 1
b A LaTex expression showing 1 over 20
c A LaTex expression showing 1 over 90
d A LaTex expression showing 1 over 15
e A LaTex expression showing 2 over 3
8
What is the value of this probability expression?
A LaTex expression showing 1 over sub 6 \text{C sub 3 }
a A LaTex expression showing 1 over 20
b A LaTex expression showing 1
c A LaTex expression showing 1 over 6
d A LaTex expression showing 5 over 2
e A LaTex expression showing 1 over 200