>Hi,
>
>>Next toss it's not 1:4 you'll get heads, then for a third 1:16 (1:8 or whatever) - it's still 1:2. By the end of 64 tosses, by that logic, like the old grains of sand on a chessboard conundrum, the chances of getting heads would be practically infinity:1.
>
>We're talking about the difference between getting heads on any one throw and getting heads *every time* in a series of throws. Your logic would dictate that there's a 50/50 chance of throwing heads an infinite number of times in succession<g>

The odds of each throw coming up heads is 50/50 regadless of what went on before. The odds of throwing 10 pennies and having them all come up heads together is quite different.