Answer:
[tex]P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}[/tex]
[tex]P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}[/tex]
[tex]P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}[/tex]
Step-by-step explanation:
The given probabilities are:
[tex]P(red)=\frac{2}{7}[/tex]
[tex]P(blue)=\frac{3}{14}[/tex]
Their sum is [tex]P(red)+P(blue)=\frac{2}{7}+\frac{3}{14}[/tex]
The probabilities that will complete the model should add up to [tex]\frac{1}{2}[/tex] so that the sum of all probabilities is 1.
[tex]P(green)+P(yellow)=\frac{2}{7}+\frac{2}{7}\ne\frac{1}{2}[/tex]
[tex]P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}=\frac{1}{2}[/tex]
[tex]P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}[/tex]
[tex]P(green)+P(yellow)=\frac{5}{21}+\frac{11}{21}\ne\frac{1}{2}[/tex]
[tex]P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}=\frac{1}{2}[/tex]
