Concepts4
∑MathIntermediate
Linearity of Expectation Applications
Linearity of expectation says the expected value of a sum equals the sum of expected values, even if the variables are dependent.
#linearity of expectation#indicator variables#expected inversions+12
∑MathIntermediate
Expected Value
Expected value is the long-run average outcome of a random variable if you could repeat the experiment many times.
#expected value#linearity of expectation#indicator variables+12
∑MathIntermediate
Probability Fundamentals
Probability quantifies uncertainty by assigning numbers between 0 and 1 to events in a sample space.
#probability#sample space#conditional probability+12
∑MathIntermediate
Derangements
A derangement is a permutation with no element left in its original position, often written as !n or D(n).
#derangement#subfactorial#inclusion-exclusion+11