_L\(p=0.5\)

\(p_1=0.17,\ p_2=0.83\)

\(p_{11}=0.129,\ p_{12}=0.277,\ p_{13}=0.594\)

\(p_{21}=0.545,\ p_{22}=0.273,\ p_{23}=0.182\)

\(q=0.5\)

\(q_1=0.3,\ q_2=0.7\)

\(q_{11}=0.2\ ,\ q_{12}=0.3\ ,\ q_{13}=0.5\)

\(q_{21}=0.5,\ \ q_{22}=0.2,\ q_{23}=0.3\)

\(U\ de\ A=\ p\left(p_1\times p_{11}+p_2\times p_{22}\right)+q\left(q_1\times q_{11}+q_2\times q_{21}\right)\)

\(\ \ \ \ \ \ \ \ \ \ \ =0.5\left(0.17\times0.129+0.83\times0.545\right)+0.5\left(0.3\times0.2+0.7\times0.5\right)\)

\(\ \ \ \ \ \ \ \ \ \ \ =0.44214\)

\(U\ de\ B=\ p\left(p_1\times p_{12}+p_2\times p_{22}\right)+q\left(q_1\times q_{12}+q_2\times q_{22}\right)\)

\(\ \ \ \ \ \ \ \ \ \ \ \ \ =0.5\left(0.17\times0.277+0.83\times0.273\right)+0.5\left(0.3\times0.3+0.7\times0.2\right)\)

\(\ \ \ \ \ \ \ \ \ \ \ \ \ =0.25184\)

\(U\ de\ C=p\left(p_1\times p_{13}+p_2\times p_{23}\right)+q\left(q_1\times q_{13}+q_2\times q_{23}\right)\)

\(\ \ \ \ \ \ \ \ \ \ \ \ =0.5\left(0.17\times0.594+0.83\times0.182\right)+0.5\left(0.3\times0.5+0.7\times0.3\right)\)

\(\ \ \ \ \ \ \ \ \ \ \ \ =\)\(0.30602\)

_{La mejor opción para Ramiro y su hermana María es la Universidad A, ya que tiene todos los requisitos que ambos están buscando.}