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Permutation formula
n! / (n-k)!
Combinations formula
n! / k! * (n-k)!
Binomial probability (at least one) formula
1 - (1-p)n
P(exactly one)
P(A or B) - P(A and B)
E[X] of a uniform distribution
a + b / 2
Standardization formula
x - miu / square root of variance
For the normal distribution: P(X <= x) =
phi(Z)
For the normal distribution: P(X > x) =
1 - phi(Z)
For the normal distribution: P(a < X < b) =
phi(Zb) - phi(Za)
For the normal distribution: phi(-x) =
1 - phi(x)
Positive correlation: min{x, y}, range[x, y]
min{P(A), P(B)}, range[P(A) * P(B), min]
Negative correlation: max{x, y}, range[x, y]
max{0, P(A) + P(B) - 1}, range[max, P(A) * P(B)]