Boole’s Inequality & Extensions (from page 32) (4.1) is Boole’s
Etc. Etc.
n The expression below puts it better: as one continues, the probability PE
gets more and more squeezed
by the bounds – the bounds sharpen from both below and above.
n ∑P(E )
i i=1
≥
n
∑P(E )−
i=1
≥
n ∑P(E)−
i=1 ≥
∑ i< j
∑ i< j
P(E E )+ ij
P(EE)+ ij
∑ i< j