Probability Calculation - Binomial Notation - One Over Simple Multiplication (Level 1)

This math topic focuses on calculating probabilities using binomial notation. The problems involve determining the values of probability expressions based on combinations, articulated through binomial coefficient calculations (e.g., "n choose k"). These expressions often feature multiplication of binomial coefficients, framed as "1 over [expression]". The complexity primarily hinges on applying permutations and combinations principles to solve probability calculations, which are foundational concepts in probability and statistics.

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

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Probability Calculation - Binomial Notation - One Over Simple Multiplication

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What is the value of this probability expression?

1(43)â‹…(32)\frac{1}{{4\choose3} \cdot {3\choose2}}

Probability Calculation - Binomial Notation - One Over Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - Binomial 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 {5\choose3 times {6\choose4}}
a A LaTex expression showing 1 over 15
b A LaTex expression showing 1 over 50
c A LaTex expression showing 1
d A LaTex expression showing 1 over 60
e A LaTex expression showing 1 over 150
2
What is the value of this probability expression?
A LaTex expression showing 1 over {6\choose6 times {6\choose5}}
a A LaTex expression showing 225
b A LaTex expression showing 1 over 6
c A LaTex expression showing 24
d A LaTex expression showing 1
3
What is the value of this probability expression?
A LaTex expression showing 1 over {6\choose6 times {4\choose2}}
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 15
d A LaTex expression showing 1
4
What is the value of this probability expression?
A LaTex expression showing 1 over {4\choose2 times {4\choose3}}
a A LaTex expression showing 1 over 12
b A LaTex expression showing 1 over 16
c A LaTex expression showing 1 over 60
d A LaTex expression showing 15 over 4
e A LaTex expression showing 1 over 24
5
What is the value of this probability expression?
A LaTex expression showing 1 over {4\choose2 times {5\choose4}}
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 30
d A LaTex expression showing 1 over 90
6
What is the value of this probability expression?
A LaTex expression showing 1 over {4\choose4 times {6\choose5}}
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 30
c A LaTex expression showing 1
d A LaTex expression showing 5 over 3
7
What is the value of this probability expression?
A LaTex expression showing 1 over {5\choose4 times {5\choose4}}
a A LaTex expression showing 1 over 75
b A LaTex expression showing 1 over 25
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1
e A LaTex expression showing 2