P.o.t.W. #35 Solution
The only results where both coins show the same number of heads is when each coin shows 0, 1, 2 or 3 heads. Calculate the probability of showing 0, 1, 2 or 3 heads for each coin. Coin A: \displaystyle\mathrm{P}\left(\mathrm{A}{=0}\right)={}_3{C_0}{\left({\frac12}\right)^3}=\frac18 \displaystyle{\mathrm{P}}\left({{\mathrm{A}} = 1}\right)={}_3{C_1}{\left( {\frac{1}{2}} \right)^3}=\frac{3}{8}...