Probability is defined as the likelihood or the certainty that an event is going to occur or happen.
The probability of randomly choosing a red and then a green marble is [tex]3/76[/tex].
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
In simplest fraction form = [tex]\frac{1}{4}[/tex]
We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore, the probability of randomly choosing a red and then a green marble is
P (Red) x P(Green)
= 1/4 x 3/19
= [tex]3/76[/tex]
To learn more, visit the link below:
https://brainly.com/question/22563776