Summary: Probability Theory
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Read the summary and the most important questions on Probability Theory
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1 Introduction
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What is the multiplication rule?
n1 * n2 ways -
What is a permutation?
N different elements : order does matter: n! -
Permutation taken r at a time?
n!/(n-r)! -
What is circular permutation?
(n-1)! -
Combinations of n distinct objects taken r at a time
NCR -
Number of ways n distinct objects in k subsets with n1 in first n2 in second
N!/n1!..nk! -
How to find multinomial coefficient?
nC(r1,r2,rk) -
How many options for distributing r indistinguishable objects among n cells, atleast a per cell
(r-an+n-1)C(n-1) -
2 Probability
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What is a sample space, event, and element?
Sample space: all possible outcomes
Element: outcome in sample space
Event: subset in sample space -
State the De Morgan laws
1. (A ∩ B)' = A' U B'
2. (A U B)' = A' ∩ B'
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