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

This math topic focuses on calculating probabilities using binomial notation and simple multiplication. It is part of a broader unit on probability and statistics which also includes permutations and combinations. Each question presents a probability expression that requires evaluation, using combinations represented in binomial notation multiplied by each other. The questions involve deducing the numerical values of various probability expressions which are crucial in understanding and practicing combinatorics and fundamental probability calculations.

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

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Probability Calculation - Binomial Notation - Single Over Simple Multiplication

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What is the value of this probability expression?

(55)(32)â‹…(54)\frac{{5\choose5}}{{3\choose2} \cdot {5\choose4}}

Probability Calculation - Binomial Notation - Single Over Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - Binomial Notation - Single Over Simple Multiplication (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_intro/
1
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose5}}{{5\choose2} times {4\choose4}}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 10
d A LaTex expression showing 1 over 15
e A LaTex expression showing 1 over 2
2
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose5}}{{3\choose3} times {6\choose4}}
a A LaTex expression showing 6
b A LaTex expression showing 2 over 5
c A LaTex expression showing 5
d A LaTex expression showing 2 over 15
e A LaTex expression showing 2
3
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose5}}{{3\choose2} times {5\choose4}}
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 15
c A LaTex expression showing 1 over 45
d A LaTex expression showing 2 over 5
e A LaTex expression showing 1 over 10
4
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose4}}{{5\choose5} times {6\choose4}}
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 15
c A LaTex expression showing 4 over 15
d A LaTex expression showing 1 over 6
5
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose5}}{{4\choose4} times {3\choose3}}
a A LaTex expression showing 6
b A LaTex expression showing 90
c A LaTex expression showing 1 over 20
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing \frac{{2\choose2}}{{5\choose2} times {4\choose3}}
a A LaTex expression showing 1 over 40
b A LaTex expression showing 3 over 5
c A LaTex expression showing 1 over 60
d A LaTex expression showing 1 over 10
7
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose3}}{{6\choose4} times {5\choose4}}
a A LaTex expression showing 1 over 15
b A LaTex expression showing 2 over 15
c A LaTex expression showing 2
d A LaTex expression showing 2 over 45