Answer:
The required probability is [tex]\frac{5}{21}[/tex].
Step-by-step explanation:
We are given that,
Number of green marbles = 5
Number of red marbles = 10
Thus, total number of marbles = 5 + 10 = 15.
So, the probability of selecting a green marble = [tex]\frac{5}{15}=\frac{1}{3}[/tex]
Now, we are not replacing the green marble and then selecting a red marble.
So, one marble is removed from the total.
Then, the total number of marbles = 14
So, the probability of selecting a red marble = [tex]\frac{10}{14}=\frac{5}{7}[/tex]
Thus, the probability of selecting a green marble and then a red marble = [tex]\frac{1}{3}\times \frac{5}{7}[/tex] = [tex]\frac{5}{21}[/tex].
Thus, the required probability is [tex]\frac{5}{21}[/tex].
