Respuesta :

From the Venn Diagram, there are 2 yellow marbles and there are a total of 10 marbles.

The formula for calculating the probability of an outcome is given by

[tex]P(x)=\frac{\text{Number of required outcomes}}{Total\text{ number of outcomes}}[/tex]

Therefore, the probability of picking a yellow marble can be calculated as

[tex]P(Y)=\frac{2}{10}=\frac{1}{5}[/tex]

Hence, the probability of not picking a yellow marble is given by

[tex]P(Y^{\prime})=1-\frac{1}{5}[/tex]

Therefore,

[tex]P(Y^{\prime})=\frac{4}{5}[/tex]