At 1000 K, solid carbon, CaO and ${\mathrm{CaCO}}_3$ are mixed and allowed to attain following equilibrium :

${\mathrm{CaCO}}_3\left(\mathrm{s}\right)\rightleftharpoons \mathrm{CaO}\left(\mathrm{s}\right)+{\mathrm{CO}}_2\left(\mathrm{g}\right);K_p=4\times {10}^{-2}\mathrm{atm}$

$\mathrm{C}\left(s\right)+{\mathrm{CO}}_2\left(g\right)\rightleftharpoons 2\mathrm{CO}\left(g\right);K_p=2\mathrm{atm}$

What is the pressure of CO at equilibrium (in atm)?