Hello....
How do I find the longest run in fifty tosses of a coin?
To add to this question, how do I compare two sequences of coin tosses to differentiate between real toss and the fake toss?
It may be possible. But is there any way of calculating it - maybe by relative frequencies based on an experiment?
But I managed to find a formula - log of n in base 2. In my case it gave me the longest run to be 5.6 - it can be either be of heads or tails, but I cant explain how.....
$\displaystyle \text{(longest possible run of heads)}=\text{(total of times that you flip the coin)}$
The possibility that you will flip a heads every single time always exists. If you flip a coin one million times in a row, then the longest possible run of heads is one million (extreeemely unlikely, but possible nevertheless).