There is a change of 1/2 for Adam to get strictly more heads than Ben.
The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)
If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.
Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.
Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.
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