No, the second time, it's not a 75% chance of double tails. You're only going to have a second try 75% of the time, so it's not going to be that entire time that you flip double tails. That's illogical.ATS said:Probability of double-heads + Probability of no double-heads = 1
Which Implies...
1 - Probability of no double-heads = Probability of double-heads
Hence...
1 - (3/4' * 3/4) = 1 - (9/16) = 5/16 < 1/3
It's 43.75%, I'll try to explain it better:
You have a 25% chance of getting double heads the first flips. Anything else, and you'll want to re-flip.
So out of that 75% chance that you DON'T get double heads the first time, you'll get double heads 25% of the time. So it's 25% on the first flips plus 25% of 75% on the second flips. 25%+25%x75%=43.75%. Simple as that.
EDIT: I decided to actually test this. So I went through the flips 100 times (as though I were actually playing Sharpedo with Victini), and I got a heads/tails split of... 46/54. Not perfect, but pretty darn close to my estimate of 43.75%.