X∼Bin(8,p)X\sim\mathrm{Bin}(8,p)X∼Bin(8,p), where 0<p<10<p<10<p<1, and P(X=1)=2P(X=0)P(X=1)=2P(X=0)P(X=1)=2P(X=0).
Find ppp.