An experiment is performed to flip a fair coin 10 times and observe the outcome of each flip: heads (labeled 'H') or tails (labeled 'T'). For instance, one outcome, written as a 10-tuple, might be (H,T,T,T,T,T,T,H,H,H).
How many total outcomes are there for this experiment? Explain your reasoning.
There are 1024 different outcomes. You are flipping a (single, 1) fair coin which has 2 sides (heads and tails) so the Sample Space (N(S)) = 1024, 10 consecutive flips, with 2 sides = 2^10=1024 - is this part correct?
How many ways can the result of the experiment show exactly nine tails? Explain your reasoning.
I was thinking that there are 113 different possibilities for have 9 tails? I did 1024/9? Can you help me?