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.

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Probability Calculation - Binomial Notation - Single Over Simple Multiplication Worksheet

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Probability Calculation - Binomial Notation - Single Over Simple Multiplication
1
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose3}}{{5\choose2} times {2\choose2}}
a A LaTex expression showing 20
b A LaTex expression showing 3 over 2
c A LaTex expression showing 10 over 3
d A LaTex expression showing 2
e A LaTex expression showing 1 over 10
2
What is the value of this probability expression?
A LaTex expression showing \frac{{6\choose6}}{{4\choose3} times {5\choose2}}
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1
c A LaTex expression showing 6
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 40
3
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose4}}{{5\choose3} times {6\choose6}}
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 6
4
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 2 over 5
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 15
d A LaTex expression showing 1
5
What is the value of this probability expression?
A LaTex expression showing \frac{{5\choose3}}{{6\choose2} times {6\choose3}}
a A LaTex expression showing 1 over 15
b A LaTex expression showing 2 over 3
c A LaTex expression showing 10
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 30
6
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose3}}{{6\choose3} times {5\choose3}}
a A LaTex expression showing 1 over 50
b A LaTex expression showing 1 over 200
c A LaTex expression showing 3 over 100
d A LaTex expression showing 2 over 75
7
What is the value of this probability expression?
A LaTex expression showing \frac{{4\choose4}}{{3\choose2} times {5\choose5}}
a A LaTex expression showing 4 over 3
b A LaTex expression showing 10
c A LaTex expression showing 1 over 3
d A LaTex expression showing 60
e A LaTex expression showing 1
8
What is the value of this probability expression?
A LaTex expression showing \frac{{2\choose2}}{{4\choose4} times {5\choose5}}
a A LaTex expression showing 3
b A LaTex expression showing 1 over 6
c A LaTex expression showing 15
d A LaTex expression showing 4
e A LaTex expression showing 1