This math topic focuses on calculating probabilities using binomial notation. The problems involve determining the values of probability expressions based on combinations, articulated through binomial coefficient calculations (e.g., "n choose k"). These expressions often feature multiplication of binomial coefficients, framed as "1 over [expression]". The complexity primarily hinges on applying permutations and combinations principles to solve probability calculations, which are foundational concepts in probability and statistics.

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

more
View

Probability Calculation - Binomial Notation - One Over Simple Multiplication Worksheet

Mobius Math Academy logo
Probability Calculation - Binomial Notation - One Over Simple Multiplication
1
What is the value of this probability expression?
A LaTex expression showing 1 over {6\choose5 times {6\choose4}}
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 15
c A LaTex expression showing 1 over 120
d A LaTex expression showing 1 over 90
e A LaTex expression showing 6
2
What is the value of this probability expression?
A LaTex expression showing 1 over {4\choose3 times {3\choose2}}
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 12
c A LaTex expression showing 1
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 15
3
What is the value of this probability expression?
A LaTex expression showing 1 over {4\choose3 times {4\choose4}}
a A LaTex expression showing 5
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 60
d A LaTex expression showing 1 over 4
4
What is the value of this probability expression?
A LaTex expression showing 1 over {6\choose4 times {3\choose2}}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 45
c A LaTex expression showing 1 over 60
d A LaTex expression showing 1 over 15
5
What is the value of this probability expression?
A LaTex expression showing 1 over {5\choose3 times {5\choose3}}
a A LaTex expression showing 1 over 50
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1
d A LaTex expression showing 1 over 100
6
What is the value of this probability expression?
A LaTex expression showing 1 over {3\choose2 times {6\choose5}}
a A LaTex expression showing 5 over 6
b A LaTex expression showing 1 over 18
c A LaTex expression showing 25 over 2
d A LaTex expression showing 1
7
What is the value of this probability expression?
A LaTex expression showing 1 over {4\choose3 times {4\choose2}}
a A LaTex expression showing 1 over 36
b A LaTex expression showing 5 over 6
c A LaTex expression showing 1 over 4
d A LaTex expression showing 10 over 3
e A LaTex expression showing 1 over 24
8
What is the value of this probability expression?
A LaTex expression showing 1 over {5\choose3 times {5\choose4}}
a A LaTex expression showing 1 over 50
b A LaTex expression showing 1 over 100
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 150