Answer:
B. [tex]\dfrac{8}{17}[/tex]
Step-by-step explanation:
If two events A and B are overlapping, then
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
You are given
[tex]P(A)=\dfrac{6}{17}\\ \\P(B)=\dfrac{5}{17}\\ \\P(A\cap B)=\dfrac{3}{17}[/tex]
Hence,
[tex]P(A\cup B)=\dfrac{6}{17}+\dfrac{5}{17}-\dfrac{3}{17}=\dfrac{6+5-3}{17}=\dfrac{8}{17}[/tex]
