The sample space given here shows all possible sequences for tossing a fair coin 4 times. The sequences have been organized by the number of tails in the sequence.

a. How many outcomes are in the sample space?
b. Assuming all of the outcomes in the sample space are equally likely, find each of the probabilities:
i. All tails in 4 tosses
ii. Only 1 tail in 4 tosses
iii. At most 1 tail in 4 tosses

Tails 1 Tail 2 Tails 3 Tails 4 Tails HHHH THHH TTHH HTTT TTTT HTHH THTH THTT HHTH THHT TTHT HHHT HTTH TTTH HTHT HHTT