1.
[tex]A\cup B=\{2,3,4,5,6,7,8,9,10,11,12,13\}\\\\A\cap B=\{5\}[/tex]
2.
[tex]\overline{\overline{\Omega}}=10\\\\\overline{\overline{B}}=5\quad\implies\quad P(B)=\dfrac5{10}=\dfrac12\\\\\overline{\overline{C}}=6\quad\implies\quad P(C)=\dfrac6{10}=\dfrac35\\\\\overline{\overline{B\cup C}}=5+3=8\quad\implies\quad P(B\cup C)=\dfrac8{10}=\dfrac45\\\\ \overline{\overline{B\cap C}}=3\quad\implies\quad P(B\cap C)=\dfrac3{10}[/tex]
