Respuesta :
Explanation:
Step-by-step explanation:
Let's denote the events as follows:
R = a red marble is chosen
G = a green marble is chosen
The information provided is:
[tex]\begin{gathered} n(R)=5 \\ n(G)=5 \\ n(R\cap G)=3 \end{gathered}[/tex]Total number of marbles in the bag is,
[tex]n(S)=11[/tex]The probability of an event E is:
[tex]\begin{gathered} Pr(E)=\frac{n(E)}{n(S)} \\ Pr(R\cup G)=Pr(R)+Pr(G)-Pr(R\cap G) \\ Pr(R\cup G)=\frac{5}{11}+\frac{5}{11}-\frac{3}{11} \\ Pr(R\cup G)=\frac{7}{11} \end{gathered}[/tex]Hence,
The final answer is
[tex]\frac{7}{11}[/tex]
