Explanation:
I don't understand the last sentence about "sample space". I think you mixed up something, made typos, left something out, ...
anyway, the sample space is
H 1
H 2
H 3
H 4
T 1
T 2
T 3
T 4
so, we can see, the outcomes for the event that the number 1 is chosen are
H 1
T 1