Answer
$S=[(H,1),(H,2),(H,3)(H,4),(H,5),(H,6),(T,1),(T,2),(T,3)(T,4),(T,5),(T,6)]$
Work Step by Step
H -> head
T -> tail
First you toss a coin. There are two possible outcomes: $H, T$
Then, for each outcome above, we have six outcomes for the dice: $1,2,3,4,5,6$
The sample space is:
$S=[(H,1),(H,2),(H,3)(H,4),(H,5),(H,6),(T,1),(T,2),(T,3)(T,4),(T,5),(T,6)]$
