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Probability Calculation - nCm Notation - One Over Simple Single (Level 1)

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.

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

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Probability Calculation - nCm Notation - One Over Simple Single

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


What is the value of this probability expression?

16C3\frac{1}{_6\text{C}_3}

Probability Calculation - nCm Notation - One Over Simple Single Worksheet

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Math worksheet on 'Probability Calculation - nCm Notation - One Over Simple Single (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 1 over sub 6 \text{C sub 3 }
a A LaTex expression showing 5 over 4
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 20
d A LaTex expression showing 1 over 6
2
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 6
c A LaTex expression showing 1 over 10
d A LaTex expression showing 15 over 4
e A LaTex expression showing 1
3
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 15
b A LaTex expression showing 1
c A LaTex expression showing 1 over 6
4
What is the value of this probability expression?
A LaTex expression showing 1 over sub 5 \text{C sub 5 }
a A LaTex expression showing 1
b A LaTex expression showing 24
c A LaTex expression showing 4 over 5
d A LaTex expression showing 20 over 3
e A LaTex expression showing 4
5
What is the value of this probability expression?
A LaTex expression showing 1 over sub 3 \text{C sub 3 }
a A LaTex expression showing 10
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1
d A LaTex expression showing 100
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 18
b A LaTex expression showing 1
c A LaTex expression showing 1 over 3
d A LaTex expression showing 60
e A LaTex expression showing 6
7
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 1 over 15
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1
d A LaTex expression showing 1 over 5
e A LaTex expression showing 5