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

This math topic focuses on calculating probabilities using the nCm notation, which refers to combinations or binomial coefficients. It involves solving problems that require dividing one combination by the product of other combinations. The questions are structured to challenge understanding and application of permutations and combinations within probability calculations. Each problem provides an expression in the nCm format with multiple answers, among which students are asked to identify the correct one. These problems are suitable for learners aiming to deepen their grasp of probability and combinatorial concepts.

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

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Probability Calculation - nCm Notation - Single 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?

6C3(6C2)â‹…(3C3)\frac{_6\text{C}_3}{({_6\text{C}_2}) \cdot ({_3\text{C}_3})}

Probability Calculation - nCm Notation - Single Over Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - nCm Notation - Single Over Simple Multiplication (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 3 }{({ sub 6 \text{C} sub 4 }) times ({ sub 4 \text{C} sub 3 })}
a A LaTex expression showing 1 over 75
b A LaTex expression showing 4 over 3
c A LaTex expression showing 1 over 60
d A LaTex expression showing 2 over 9
e A LaTex expression showing 1 over 3
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 3 }{({ sub 4 \text{C} sub 4 }) times ({ sub 3 \text{C} sub 3 })}
a A LaTex expression showing 80
b A LaTex expression showing 5
c A LaTex expression showing 1 over 24
d A LaTex expression showing 10
e A LaTex expression showing 15
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{({ sub 4 \text{C} sub 2 }) times ({ sub 4 \text{C} sub 2 })}
a A LaTex expression showing 1 over 36
b A LaTex expression showing 1
c A LaTex expression showing 1 over 40
d A LaTex expression showing 1 over 18
e A LaTex expression showing 2 over 3
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 3 }{({ sub 5 \text{C} sub 4 }) times ({ sub 3 \text{C} sub 3 })}
a A LaTex expression showing 1 over 5
b A LaTex expression showing 10
c A LaTex expression showing 2
d A LaTex expression showing 2 over 3
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 6 }{({ sub 3 \text{C} sub 2 }) times ({ 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
d A LaTex expression showing 1 over 9
e A LaTex expression showing 1 over 3
6
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 }) times ({ sub 5 \text{C} sub 4 })}
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 30
d A LaTex expression showing 1 over 90
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 2 \text{C} sub 2 }{({ sub 5 \text{C} sub 5 }) times ({ sub 6 \text{C} sub 3 })}
a A LaTex expression showing 1
b A LaTex expression showing 3 over 20
c A LaTex expression showing 1 over 20