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

This math topic focuses on probability concepts, specifically the chances of drawing specific cards from a set using binomial coefficients. Students work on calculating the probabilities of selecting certain cards like 4s, 3s, Queens, Aces, and Jacks from given card sets, and they express their answers using bracket notation or binomial notation. This practice is part of an introduction to probability and statistics, emphasizing combinatorial calculations and fundamental principles of probability. The exercises help students understand and apply concepts of combinations and permutations to practical and theoretical problems in probability.

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

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Choose N Cards from M, To Bracket Notation

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

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

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Math worksheet on 'Probability Counting - Choose N Cards 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 two Queens from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose2}}{{2\choose6}}
b A LaTex expression showing \frac{{4\choose2}}{{6\choose2}}
c A LaTex expression showing \frac{{5\choose2}}{{5\choose4}}
d A LaTex expression showing \frac{{2\choose3}}{{5\choose4}}
e A LaTex expression showing \frac{{3\choose3}}{{4\choose2}}
f A LaTex expression showing \frac{{3\choose2}}{{6\choose2}}
2
What's the chance of drawing two Aces 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\choose2}}{{4\choose2}}
c A LaTex expression showing \frac{{4\choose2}}{{6\choose2}}
d A LaTex expression showing \frac{{6\choose2}}{{7\choose3}}
e A LaTex expression showing \frac{{2\choose4}}{{8\choose3}}
f A LaTex expression showing \frac{{3\choose3}}{{2\choose6}}
3
An svg image showing a math problem
What's the chance of drawing two 8s from this set? Show as binomial coefficients (bracket notation).
a A LaTex expression showing \frac{{2\choose3}}{{5\choose2}}
b A LaTex expression showing \frac{{5\choose2}}{{2\choose5}}
c A LaTex expression showing \frac{{2\choose3}}{{6\choose4}}
d A LaTex expression showing \frac{{5\choose3}}{{2\choose5}}
e A LaTex expression showing \frac{{3\choose2}}{{5\choose2}}
f A LaTex expression showing \frac{{2\choose3}}{{6\choose2}}
4
What's the chance of drawing three 4s from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{4\choose3}}{{6\choose3}}
b A LaTex expression showing \frac{{3\choose4}}{{4\choose4}}
c A LaTex expression showing \frac{{3\choose4}}{{7\choose2}}
d A LaTex expression showing \frac{{3\choose2}}{{5\choose3}}
e A LaTex expression showing \frac{{4\choose2}}{{4\choose4}}
f A LaTex expression showing \frac{{3\choose3}}{{8\choose4}}
5
What's the chance of drawing three 8s from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{4\choose3}}{{7\choose3}}
b A LaTex expression showing \frac{{3\choose3}}{{3\choose7}}
c A LaTex expression showing \frac{{4\choose2}}{{9\choose2}}
d A LaTex expression showing \frac{{5\choose2}}{{8\choose4}}
e A LaTex expression showing \frac{{6\choose5}}{{6\choose3}}
f A LaTex expression showing \frac{{3\choose3}}{{5\choose4}}
6
What's the chance of drawing three 4s from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{3\choose3}}{{5\choose5}}
b A LaTex expression showing \frac{{3\choose3}}{{8\choose3}}
c A LaTex expression showing \frac{{5\choose3}}{{8\choose4}}
d A LaTex expression showing \frac{{4\choose3}}{{6\choose3}}
e A LaTex expression showing \frac{{3\choose2}}{{3\choose6}}
f A LaTex expression showing \frac{{6\choose2}}{{8\choose5}}
7
What's the chance of drawing two 10s from this set? Show as binomial coefficients (bracket notation).
An svg image showing a math problem
a A LaTex expression showing \frac{{5\choose2}}{{5\choose4}}
b A LaTex expression showing \frac{{2\choose3}}{{4\choose3}}
c A LaTex expression showing \frac{{5\choose2}}{{6\choose2}}
d A LaTex expression showing \frac{{3\choose2}}{{8\choose2}}
e A LaTex expression showing \frac{{3\choose2}}{{6\choose2}}
f A LaTex expression showing \frac{{3\choose2}}{{2\choose6}}