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Probability Counting - Choose N Letters from M, Probability Counting - To Bracket Notation (Level 1)

This math topic focuses on skills related to probability and the use of binomial coefficients, commonly known as "bracket notation." Students are tasked with solving probability problems by calculating the chances of drawing a specific number of vowels from sets of letters. Each question requires the expression of probabilities as ratios of binomial coefficients, enhancing familiarity with combinatorial calculations in probability contexts and introducing foundational elements of binomial notation. This topic serves as an introduction to more complex probability and statistics concepts.

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

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Choose N Letters from M, To Bracket Notation

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


What's the chance of drawing 2 vowels from this set? Show as binomial coefficients (bracket notation).

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Probability Counting - Choose N Letters from M, Probability Counting - To Bracket Notation Worksheet

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Math worksheet on 'Probability Counting - Choose N Letters from M, Probability Counting - To Bracket Notation (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's the chance of drawing 3 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose4}}{{5\choose2}}
b A LaTex expression showing \frac{{5\choose5}}{{3\choose5}}
c A LaTex expression showing \frac{{3\choose4}}{{4\choose2}}
d A LaTex expression showing \frac{{4\choose3}}{{5\choose3}}
e A LaTex expression showing \frac{{6\choose5}}{{4\choose2}}
f A LaTex expression showing \frac{{5\choose4}}{{7\choose5}}
2
What's the chance of drawing 2 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose2}}{{7\choose2}}
b A LaTex expression showing \frac{{3\choose3}}{{8\choose2}}
c A LaTex expression showing \frac{{3\choose3}}{{2\choose7}}
d A LaTex expression showing \frac{{2\choose3}}{{5\choose3}}
e A LaTex expression showing \frac{{3\choose3}}{{9\choose2}}
f A LaTex expression showing \frac{{3\choose2}}{{8\choose3}}
3
What's the chance of drawing 2 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose2}}{{5\choose2}}
b A LaTex expression showing \frac{{3\choose3}}{{9\choose4}}
c A LaTex expression showing \frac{{5\choose2}}{{8\choose2}}
d A LaTex expression showing \frac{{3\choose2}}{{7\choose2}}
e A LaTex expression showing \frac{{2\choose3}}{{8\choose2}}
f A LaTex expression showing \frac{{2\choose3}}{{2\choose7}}
4
What's the chance of drawing 2 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{2\choose4}}{{5\choose2}}
b A LaTex expression showing \frac{{6\choose2}}{{2\choose7}}
c A LaTex expression showing \frac{{2\choose4}}{{2\choose7}}
d A LaTex expression showing \frac{{6\choose2}}{{9\choose2}}
e A LaTex expression showing \frac{{4\choose2}}{{7\choose2}}
f A LaTex expression showing \frac{{3\choose2}}{{2\choose7}}
5
What's the chance of drawing 2 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{5\choose4}}{{2\choose5}}
b A LaTex expression showing \frac{{3\choose2}}{{3\choose2}}
c A LaTex expression showing \frac{{2\choose3}}{{2\choose5}}
d A LaTex expression showing \frac{{2\choose3}}{{3\choose2}}
e A LaTex expression showing \frac{{3\choose2}}{{5\choose2}}
f A LaTex expression showing \frac{{2\choose3}}{{3\choose3}}
6
What's the chance of drawing 2 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose2}}{{4\choose2}}
b A LaTex expression showing \frac{{5\choose2}}{{2\choose6}}
c A LaTex expression showing \frac{{2\choose3}}{{7\choose2}}
d A LaTex expression showing \frac{{3\choose2}}{{6\choose2}}
e A LaTex expression showing \frac{{3\choose3}}{{7\choose2}}
f A LaTex expression showing \frac{{4\choose4}}{{2\choose6}}
7
What's the chance of drawing 3 vowels from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose4}}{{5\choose2}}
b A LaTex expression showing \frac{{3\choose3}}{{7\choose2}}
c A LaTex expression showing \frac{{4\choose3}}{{7\choose3}}
d A LaTex expression showing \frac{{3\choose3}}{{9\choose2}}
e A LaTex expression showing \frac{{4\choose2}}{{5\choose2}}
f A LaTex expression showing \frac{{3\choose2}}{{6\choose4}}