This math topic focuses on calculating probabilities using the permutation notation (nPm). The problems require evaluating expressions in the form of `1 over (nPm * nPm)` to determine their numerical values. It covers fundamentals of probability and statistics, particularly dealing with permutations and combinations, aiming to enhance problem-solving skills in these areas. The questions present various scenarios requiring the evaluation of probability expressions using permutations, providing multiple-choice answers to reinforce learning of these concepts.

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Probability Calculation - nPm Notation - One Over Simple Multiplication Worksheet

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Probability Calculation - nPm Notation - One Over Simple Multiplication
1
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 4 \text{P sub 4 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 1 over 288
b A LaTex expression showing 5 over 6
c A LaTex expression showing 1
d A LaTex expression showing 1 over 24
2
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 2 \text{P sub 2 }) times ({ sub 6 \text{P} sub 3 })}
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 240
c A LaTex expression showing 1 over 40
d A LaTex expression showing 1
3
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 3 \text{P sub 3 }) times ({ sub 2 \text{P} sub 2 })}
a A LaTex expression showing 5 over 3
b A LaTex expression showing 1
c A LaTex expression showing 3
d A LaTex expression showing 1 over 12
4
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 3 \text{P sub 3 }) times ({ sub 4 \text{P} sub 3 })}
a A LaTex expression showing 1 over 144
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 36
d A LaTex expression showing 1
e A LaTex expression showing 1 over 6
5
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 4 \text{P sub 3 }) times ({ sub 2 \text{P} sub 2 })}
a A LaTex expression showing 15 over 2
b A LaTex expression showing 1 over 240
c A LaTex expression showing 1 over 120
d A LaTex expression showing 1 over 48
6
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 3 \text{P sub 2 }) times ({ sub 3 \text{P} sub 3 })}
a A LaTex expression showing 5 over 9
b A LaTex expression showing 1 over 36
c A LaTex expression showing 1 over 6
d A LaTex expression showing 120
e A LaTex expression showing 1 over 18
7
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 4 \text{P sub 2 }) times ({ sub 4 \text{P} sub 3 })}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 288
c A LaTex expression showing 1 over 96
d A LaTex expression showing 1 over 120
8
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 4 \text{P sub 3 }) times ({ sub 3 \text{P} sub 2 })}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 360
c A LaTex expression showing 1 over 144
d A LaTex expression showing 1 over 24
e A LaTex expression showing 5 over 6