Answer:

"The proabability of getting a heads in a fair coin = Probability of getting a tail = 1/2

Thus probability of getting 3 heads in the first toss = (1/2)*(1/2)*(1/2) = 1/8

Each toss is independent of the other toss. Thus, irrespective of how the outcomes are in first toss, it won't affect the outcomes of the second toss.

Thus Probability of getting atleast one tails (doing worse) = 1- Probability of getting no tails (all heads) = 1-1/8 = 7/8

Thus probability of doinf worse on second toss = 7/8