Problem $1(1$ point$).$ ssume a key generation algorithm can output $4$ different keys $\{00,01,10,11\}$

and the probability of each output is $p_{00}=0\mathrm{.}55,p_{01}=0\mathrm{.}25,p_{10}=0\mathrm{.}1,p_{11}=0\mathrm{.}1.$ Please compute entropy

to evaluate the security of this key generation algorithm.