A coin has 2 sides which are heads and tails so for one coin toss there are 2 outcomes.
By the formula for the sample space, the total number of outcomes is given by:
[tex]n(S)=n^r[/tex]Where n is the number of outcomes for single experiment and r is the number of times the experiment was repeated.
In this case n=2 and r=10 so it follows:
[tex]n(S)=2^{10}=1024[/tex]Hence the total number of outcomes is 1024
Option D is correct.
