SOLUTION: write the indicated event in set notation. When four coins are tossed, the last three tosses come up the same. please show work

The sample space (universal set) is

{HHHH,HHHT,HHTH,HHTT,HTHH,HTHT,HTTH,HTTT,THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT}

We are looking in that sample space for the event which is the subset where
the last three are the same.  That's this event [subset of the sample space
(universal set)]:

{HHHH,HTTT,THHH,TTTT}

That's the answer.

Edwin