Originally posted by iamatigerThat's what I got. It's easy, but a little counter-intuitive. Intuitively we can sense that the odds of exactly 2 heads start to drop off as N increases further, certainly, say, to 10 or 20.
Three winners out of 8
HHHH HHHT HHTH HHTT* HTHH HTHT* HTTH* HTTT
THHH THHT* THTH* THTT TTHH* TTHT TTTH TTTT
6 winners out of 16 = 3/8
Yep, no gain either way