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Probability Countin

Choose N Cards from M, Count of Favorable Outcomes - To Bracket Notation (Level 1)

This topic focuses on foundational probability skills, specifically choosing and counting occurrences of certain cards within a set, using binomial coefficient notation. It addresses problems that involve selecting a specific number of cards (like Aces, Jacks, or numbered cards) from a presented set and representing these scenarios with bracket notation to show the count of favorable outcomes. Emphasis is placed on understanding and applying binomial notation to express combinations within basic probability scenarios, enhancing the learner's ability to calculate and interpret probabilistic events methodically.

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

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Choose N Cards from M, Count of Favorable Outcomes - To Bracket Notation

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

How many ways can two 6s be drawn from this set? Show as a binomial coefficient (bracket notation).

566696

?

Probability Counting - Choose N Cards from M, Count of Favorable Outcomes - To Bracket Notation Worksheet

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Math worksheet on 'Probability Counting - Choose N Cards from M, Count of Favorable Outcomes - 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
An svg image showing a math problem
How many ways can two 5s be drawn from this set? Show as a binomial coefficient (bracket notation).
a A LaTex expression showing {2\choose4}
b A LaTex expression showing {4\choose2}
c A LaTex expression showing {6\choose2}
d A LaTex expression showing {5\choose3}
e A LaTex expression showing {3\choose2}
f A LaTex expression showing {3\choose3}
2
An svg image showing a math problem
How many ways can two 10s be drawn from this set? Show as a binomial coefficient (bracket notation).
a A LaTex expression showing {2\choose4}
b A LaTex expression showing {4\choose4}
c A LaTex expression showing {5\choose2}
d A LaTex expression showing {6\choose3}
e A LaTex expression showing {6\choose2}
f A LaTex expression showing {4\choose2}
3
An svg image showing a math problem
How many ways can two 5s be drawn from this set? Show as a binomial coefficient (bracket notation).
a A LaTex expression showing {3\choose3}
b A LaTex expression showing {4\choose2}
c A LaTex expression showing {2\choose4}
d A LaTex expression showing {3\choose2}
e A LaTex expression showing {6\choose2}
f A LaTex expression showing {5\choose2}
4
How many ways can two Kings be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {4\choose2}
b A LaTex expression showing {4\choose4}
c A LaTex expression showing {3\choose3}
d A LaTex expression showing {5\choose3}
e A LaTex expression showing {3\choose2}
f A LaTex expression showing {2\choose3}
5
An svg image showing a math problem
How many ways can two 6s be drawn from this set? Show as a binomial coefficient (bracket notation).
a A LaTex expression showing {4\choose2}
b A LaTex expression showing {3\choose3}
c A LaTex expression showing {5\choose3}
d A LaTex expression showing {3\choose2}
e A LaTex expression showing {5\choose2}
f A LaTex expression showing {2\choose3}
6
An svg image showing a math problem
How many ways can two 6s be drawn from this set? Show as a binomial coefficient (bracket notation).
a A LaTex expression showing {3\choose2}
b A LaTex expression showing {5\choose2}
c A LaTex expression showing {4\choose2}
d A LaTex expression showing {6\choose3}
e A LaTex expression showing {2\choose4}
f A LaTex expression showing {6\choose2}
7
An svg image showing a math problem
How many ways can two 10s be drawn from this set? Show as a binomial coefficient (bracket notation).
a A LaTex expression showing {5\choose3}
b A LaTex expression showing {2\choose3}
c A LaTex expression showing {3\choose3}
d A LaTex expression showing {5\choose2}
e A LaTex expression showing {3\choose2}