g1: 1 shot
g2: 3 shots, have to make ⅔

p is prob making a shot


w(g1): p
w(g2): p(all 3) + p(miss 3) + p(miss 2) + p(miss 1)

= p^3 + 3 ( p^2 (1 - p) )
= p^3 + 3 (p^2 - p^3)
= p^3 + 3p^2 - 3p^3
= 3p^2 - 2p^3



when does p = 3p^2 - 2p^3
          1 = 3p - 2p^2
              1 = p(3 - 2p)

p = 1, 1/2

game 1 if p < 0.5, else game 2

