If X follows a binomial distribution with parameters n = 100 and p = 1/3, then P (X =r) is maximum when r =

32 34 33 31

33

We have, $(n+1)p=\frac{101}{3}$ which is not an integer. $∴ P(X=r)$ is maximum when r $=[\frac{101}{3}]= 33$