The probability of randomly selecting a red marble will be P=1/45
The probability is defined as the chances of happening of any event it is defined as the ratio of required outcomes to the total number.
Now here is the question, it is given that
Total marbles in the bag = 15
probability of randomly selecting a green marble = [tex]\dfrac{1}{3}[/tex]
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is [tex]\dfrac{1}{15}[/tex]
So, the probability of randomly selecting a red marble will be the product of the two probabilities.
[tex]P= \dfrac{1}{3} \times \dfrac{1}{15}[/tex]
[tex]P=\dfrac{1}{45}[/tex]
Thus the probability of randomly selecting a red marble will be
[tex]P= \dfrac{1}{45}[/tex]
To know more about probability follow
https://brainly.com/question/24756209
