I know this is an extremely basic question, but I have a slight misunderstanding (?) regarding this question:
How many possible outcomes are there when flipping two coins?
At first glance, this is a really easy problem: 2 x 2 = 4
!
But if I list all the possible outcomes:
{H, H} {H, T} {T, H} {T, T}
I noticed that there are really three "distinct" outcomes:
{H, H} {H, T} {T, T}
Is it wrong to consider {H, T}
and {T, H}
the same? Why or why not?