Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: The total number of marbles = [tex]7+5+8+4+6=30[/tex]
The number of green marbles = 4
The probability of selecting a green marble =[tex]\dfrac{4}{30}[/tex]
The number of purple marbles = 6
The probability of selecting a purple marble =[tex]\dfrac{6}{30}[/tex]
Now, the experimental probability of randomly selecting a marble that is either green or purple. is given by :-
[tex]\text{P(either green or purple)}=\text{P(green)+P(purple)}\\\\\Rightarrow\ \text{P(either green or purple)}==\dfrac{4}{30}+\dfrac{6}{30}\\\\\Rightarrow\ \text{P(either green or purple)}==\dfrac{4+6}{30}\\\\\Rightarrow\ \text{P(either green or purple)}=\dfrac{10}{30}=\dfrac{1}{3}[/tex]
