Β Each particle has two possibilities: either it is on the left hand side or it is on the right hand side. Β
The probability of having them equally split is Β
P(100,100) = 200C100 / 2^200 Β
where 200C100 is the binomial coefficient. Β
For the uneven distribution we have Β
P= 2 * 200C160 / 2^200 Β
where the factor 2 comes in because we could have 160/40 or 40/160 as a division. Β
So the ratio of probabilities is Β
200C100 /(2 * 200C160 ) Β
= 2.2 * 10^16
Hope this helps!
