The calculated probability of choosing a red marble and then a green marble with replacement is A. 1/10
How to determine the probability of choosing a red marble and then a green marble
From the question, we have the following parameters that can be used in our computation:
3 blue marbles, 5 red marbles, and 2 green marbles
So, we have
Total = 3 + 5 + 2
Total = 10
Using the above as a guide, we have the following:
P(Red) = Red/Total and
P(Green) = Green/Total
Substitute the known values into the equation
P(Red) = 5/10 = 1/2
P(Green) = 2/10 = 1/5
So, we have
P(Red and Green) = 1/2 * 1/5
Evaluate
P(Red and Green) = 1/10
Hence, the probability of choosing a red marble and then a green marble is 1/10