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

This math topic focuses on probability calculations using combinations, expressed in \( nCm \) notation, where problems involve simple multiplication of one or more combination expressions and occasionally dividing them by another combination expression. It is part of a broader unit on permutations and combinations aiming to enhance proficiency in probability and statistics. The exercises provide multiple-choice questions where learners solve for numerical values of given probability expressions. This helps in strengthening the ability to manipulate and compute factorial-based expressions fundamental to solving combinatorial probability problems.

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

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Probability Calculation - nCm Notation - Simple Multiplication Over 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?

(6C5)â‹…(6C5)4C3\frac{({_6\text{C}_5}) \cdot ({_6\text{C}_5})}{_4\text{C}_3}

Probability Calculation - nCm Notation - Simple Multiplication Over Single Worksheet

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Math worksheet on 'Probability Calculation - nCm Notation - Simple Multiplication Over 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 \frac{({ sub 6 \text{C} sub 6 }) times ({ sub 5 \text{C} sub 4 })}{ sub 5 \text{C} sub 2 }
a A LaTex expression showing 1 over 50
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 2
2
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 4 \text{C} sub 3 }) times ({ sub 5 \text{C} sub 5 })}{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 2 over 3
b A LaTex expression showing 1 over 4
c A LaTex expression showing 10 over 3
d A LaTex expression showing 1 over 9
e A LaTex expression showing 1
3
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{C} sub 5 }) times ({ sub 6 \text{C} sub 6 })}{ sub 3 \text{C} sub 3 }
a A LaTex expression showing 6
b A LaTex expression showing 3 over 2
c A LaTex expression showing 6 over 5
d A LaTex expression showing 1
4
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 3 \text{C} sub 3 }) times ({ sub 6 \text{C} sub 2 })}{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 5 over 2
b A LaTex expression showing 15
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1
e A LaTex expression showing 15 over 2
5
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{C} sub 5 }) times ({ sub 6 \text{C} sub 6 })}{ sub 5 \text{C} sub 2 }
a A LaTex expression showing 6
b A LaTex expression showing 3 over 5
c A LaTex expression showing 6 over 5
d A LaTex expression showing 1 over 10
e A LaTex expression showing 3 over 20
6
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{C} sub 5 }) times ({ sub 2 \text{C} sub 2 })}{ sub 5 \text{C} sub 5 }
a A LaTex expression showing 1 over 5
b A LaTex expression showing 15
c A LaTex expression showing 1
d A LaTex expression showing 6
7
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 3 \text{C} sub 3 }) times ({ sub 3 \text{C} sub 3 })}{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 1
b A LaTex expression showing 1 over 90
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1 over 15