Answer:
the probability = [tex]\displaystyle \bf\frac{2}{5}[/tex]
Step-by-step explanation:
We can find the probability of selecting a marble that is either red or green by using the probability formula:
[tex]\boxed{P(A)=\frac{n(A)}{n(S)}}[/tex]
where:
Let:
Then:
[tex]\displaystyle P(R)=\frac{n(R)}{n(S)}[/tex]
[tex]\displaystyle=\frac{10}{100}[/tex]
[tex]\displaystyle P(G)=\frac{n(G)}{n(S)}[/tex]
[tex]\displaystyle=\frac{30}{100}[/tex]
Since event R and event G are independent of each other, therefore:
[tex]\boxed{P(red\ or\ green)=P(R)+P(G)}[/tex]
[tex]\displaystyle P(R\cup G)=\frac{10}{100} +\frac{30}{100}[/tex]
[tex]\displaystyle=\bf\frac{2}{5}[/tex]