Probability Calculation - Binomial Notation - Simple Division

Level 1

This math topic concentrates on calculating probability values using binomial coefficients and simple division. It involves evaluating expressions framed in the form of ratios of binomial coefficients, denoted by the typical "n choose k" notation. The format fosters a deeper understanding of probability calculations within the broader field of probability and statistics, specifically focusing on permutations and combinations. Each question presents an expression, requiring learners to compute the probability and select the correct answer from multiple choices. This is fundamental for developing analytical skills in probability theory and combinatorial calculations.

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

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Probability Calculation - Binomial Notation - Simple Division

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What is the value of this probability expression?

(53)(66)\frac{{5\choose3}}{{6\choose6}}

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Probability Calculation - Binomial Notation - Simple Division Worksheet

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Math worksheet on 'Probability Calculation - Binomial Notation - Simple Division (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 \frac{{2\choose2}}{{3\choose3}}
a A LaTex expression showing 15
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1
e A LaTex expression showing 5
2
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose2}}{{3\choose3}}
a A LaTex expression showing 90
b A LaTex expression showing 3 over 4
c A LaTex expression showing 1
d A LaTex expression showing 225
e A LaTex expression showing 15
3
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose5}}{{5\choose2}}
a A LaTex expression showing 2 over 3
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1
d A LaTex expression showing 10 over 3
4
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose3}}{{4\choose2}}
a A LaTex expression showing 10 over 3
b A LaTex expression showing 1 over 6
c A LaTex expression showing 5 over 3
d A LaTex expression showing 10
e A LaTex expression showing 5 over 4
5
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose5}}{{6\choose3}}
a A LaTex expression showing 6
b A LaTex expression showing 1 over 20
c A LaTex expression showing 3 over 10
6
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose2}}{{4\choose4}}
a A LaTex expression showing 15
b A LaTex expression showing 6
c A LaTex expression showing 2 over 5
d A LaTex expression showing 1
e A LaTex expression showing 3 over 2
7
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose4}}{{3\choose2}}
a A LaTex expression showing 6
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1