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. Complete parts (a) and (b) below. 0 Tails 1 Tail 2 Tails 3 Tails 4 Tails HHHH THHH TTHH HTTT TTTT HTHH THTH THTT HHTH THAT TTHT HHHT HTTH TTTH HTHT HHTT . . . . . 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) through (iii). i. 0 heads in 4 tosses (Type an integer or a simplified fraction.) ii. only 1 tail in 4 tosses (Type an integer or a simplified fraction.) iii. at most 2 heads in 4 tosses (Type an integer or a simplified fraction.)