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Probability Calculation - nPm Notation - One Over Simple Multiplication

Level 1

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.

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

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Probability Calculation - nPm Notation - One Over Simple Multiplication

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

What is the value of this probability expression?

1(4P3)⋅(3P2)\frac{1}{({_4\text{P}_3}) \cdot ({_3\text{P}_2})}

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Probability Calculation - nPm Notation - One Over Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - nPm Notation - One Over Simple Multiplication (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_practice/
1
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 2 })}
a A LaTex expression showing 1 over 60
b A LaTex expression showing 1
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 24
2
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 1 over 288
b A LaTex expression showing 1
c A LaTex expression showing 1 over 48
d A LaTex expression showing 3
3
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 3 \text{P sub 2 }) times ({ sub 5 \text{P} sub 2 })}
a A LaTex expression showing 1 over 120
b A LaTex expression showing 1 over 20
c A LaTex expression showing 1
d A LaTex expression showing 1 over 180
4
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 5 \text{P sub 2 }) times ({ sub 5 \text{P} sub 2 })}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 400
c A LaTex expression showing 1 over 20
d A LaTex expression showing 3 over 10
5
What is the value of this probability expression?
A LaTex expression showing 1 over ({ sub 4 \text{P sub 3 }) times ({ sub 5 \text{P} sub 2 })}
a A LaTex expression showing 1 over 480
b A LaTex expression showing 30
c A LaTex expression showing 1 over 80
d A LaTex expression showing 1 over 24
e A LaTex expression showing 1 over 8
6
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 1
c A LaTex expression showing 1 over 24
d A LaTex expression showing 1 over 30
7
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 240
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 40
d A LaTex expression showing 1