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Probability Calculation - nCm Notation - One Over Simple Multiplication

Level 1

This math topic focuses on probability calculations involving combinations, expressed using the "n choose m" (nCm) notation and the operation of division. Specifically, it tests understanding and manipulation of expressions such as "1 over the product of two combinations" to compute probabilities. Different question scenarios require implementing combination formulas and simplifying the outcomes to match one of multiple choice answers provided. This collection of problems requires both conceptual understanding of permutations and combinations in probability and the ability to perform numerical calculation.

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 Multiplication

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

What is the value of this probability expression?

1(5C2)⋅(5C4)\frac{1}{({_5\text{C}_2}) \cdot ({_5\text{C}_4})}

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Probability Calculation - nCm Notation - One Over Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - nCm Notation - One Over Simple Multiplication (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_practice/
1
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 6 \text{C sub 3 }) times ({ sub 4 \text{C} sub 2 })}
a A LaTex expression showing 1 over 20
b A LaTex expression showing 1 over 90
c A LaTex expression showing 1 over 300
d A LaTex expression showing 1 over 120
e A LaTex expression showing 1 over 80
2
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 4 \text{C sub 4 }) times ({ sub 6 \text{C} sub 5 })}
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 1 over 30
3
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 6 \text{C sub 4 }) times ({ sub 5 \text{C} sub 3 })}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 1 over 75
c A LaTex expression showing 1
d A LaTex expression showing 2 over 15
e A LaTex expression showing 1 over 150
4
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 5 \text{C sub 5 }) times ({ sub 5 \text{C} sub 5 })}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 90
c A LaTex expression showing 1
d A LaTex expression showing 6
5
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 3 \text{C sub 2 }) times ({ sub 6 \text{C} sub 3 })}
a A LaTex expression showing 1 over 60
b A LaTex expression showing 1 over 18
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 20
6
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 5 \text{C sub 3 }) times ({ sub 6 \text{C} sub 2 })}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 1 over 150
c A LaTex expression showing 1 over 300
d A LaTex expression showing 1 over 200
7
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 3 \text{C sub 2 }) times ({ sub 6 \text{C} sub 2 })}
a A LaTex expression showing 2 over 3
b A LaTex expression showing 1 over 18
c A LaTex expression showing 1 over 45
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 15