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

This math topic focuses on solving probability expressions using binomial notation and permutations and combinations. The problems require calculating and simplifying expressions based on combinatorial logic, such as choosing subsets of items and multiplying different combinations. Each question presents a different binomial probability expression, and students must select the correct result from multiple choices. This exercise aims to enhance understanding of fundamental concepts in probability and statistics through practical application.

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

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Probability Calculation - Binomial Notation - Simple Multiplication Over Single

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

What is the value of this probability expression?

(54)⋅(42)(42)\frac{{5\choose4} \cdot {4\choose2}}{{4\choose2}}

Probability Calculation - Binomial Notation - Simple Multiplication Over Single Worksheet

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Math worksheet on 'Probability Calculation - Binomial Notation - Simple Multiplication Over Single (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{{6\choose6} times {4\choose2}}{{3\choose3}}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 6
c A LaTex expression showing 1
d A LaTex expression showing 1 over 15
2
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose3} times {6\choose6}}{{2\choose2}}
a A LaTex expression showing 1
b A LaTex expression showing 20
c A LaTex expression showing 4 over 3
d A LaTex expression showing 6
3
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose4} times {4\choose2}}{{3\choose2}}
a A LaTex expression showing 3
b A LaTex expression showing 5 over 3
c A LaTex expression showing 10
d A LaTex expression showing 1 over 3
e A LaTex expression showing 30
4
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose6} times {6\choose4}}{{4\choose2}}
a A LaTex expression showing 5 over 2
b A LaTex expression showing 1 over 6
c A LaTex expression showing 5
d A LaTex expression showing 15
5
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose2} times {6\choose2}}{{6\choose2}}
a A LaTex expression showing 2 over 5
b A LaTex expression showing 9
c A LaTex expression showing 6
d A LaTex expression showing 4
6
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose4} times {5\choose4}}{{4\choose3}}
a A LaTex expression showing 15 over 2
b A LaTex expression showing 5 over 4
c A LaTex expression showing 5
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1
7
What is the value of this probability expression?
A LaTex expression showing \frac{{2\choose2} times {4\choose3}}{{5\choose5}}
a A LaTex expression showing 10
b A LaTex expression showing 1
c A LaTex expression showing 4 over 3
d A LaTex expression showing 4