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.

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Probability Calculation - Binomial Notation - Simple Multiplication Over Single Worksheet

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Probability Calculation - Binomial Notation - Simple Multiplication Over Single
1
What is the value of this probability expression?
A LaTex expression showing \frac{{3\choose2} times {4\choose2}}{{2\choose2}}
a A LaTex expression showing 3
b A LaTex expression showing 18
c A LaTex expression showing 15
d A LaTex expression showing 6
e A LaTex expression showing 12
2
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose5} times {5\choose2}}{{4\choose4}}
a A LaTex expression showing 60
b A LaTex expression showing 2 over 25
c A LaTex expression showing 6
d A LaTex expression showing 150
3
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose3} times {5\choose5}}{{5\choose3}}
a A LaTex expression showing 2 over 5
b A LaTex expression showing 4 over 5
c A LaTex expression showing 1 over 10
4
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose3} times {5\choose4}}{{5\choose2}}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 2
c A LaTex expression showing 100
d A LaTex expression showing 10
5
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose4} times {6\choose3}}{{6\choose2}}
a A LaTex expression showing 100
b A LaTex expression showing 5
c A LaTex expression showing 50 over 3
d A LaTex expression showing 20 over 3
e A LaTex expression showing 1 over 15
6
What is the value of this probability expression?
A LaTex expression showing \frac{{3\choose2} times {2\choose2}}{{4\choose2}}
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1
c A LaTex expression showing 1 over 2
d A LaTex expression showing 4 over 3
7
What is the value of this probability expression?
A LaTex expression showing \frac{{3\choose3} times {6\choose5}}{{6\choose5}}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 15
d A LaTex expression showing 1 over 36
8
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 4 over 3
b A LaTex expression showing 1
c A LaTex expression showing 6
d A LaTex expression showing 20