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## Main Question or Discussion Point

if you have a sequence of events {A_1, A_2, ...} then an expression

for the event that "infinitely many A_i's occur" is:

U(n = 1 to inf, U(m = n to inf, A_m) )

but wouldn't

U(n = 1 to inf, A_n)

also satisfy this?

for the event that "infinitely many A_i's occur" is:

U(n = 1 to inf, U(m = n to inf, A_m) )

but wouldn't

U(n = 1 to inf, A_n)

also satisfy this?