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\begin{align*}\begin{aligned}&P(0)=\frac{2 !}{0 !(2-0) !}\left(.5^{0}\right)(1-.5)^{2-0}=\frac{2}{2}(1)(.25)=0.25 \\&P(1)=\frac{2 !}{1 !(2-1) !}\left(.5^{1}\right)(1-.5)^{2-1}=\frac{2}{1}(.5)(.5)=0.50 \\&P(2)=\frac{2 !}{2 !(2-2) !}\left(.5^{2}\right)(1-.5)^{2-2}=\frac{2}{2}(.25)(1)=0.25\end{aligned}\end{align*}