Step 1: Problem
Step 2: Concept
[tex]\text{Probability of any event = }\frac{n\text{ umber of required outcome}}{n\text{ umber of total possible outcome}}[/tex]Step 3: Method
Red R = 3
Blue B = 2
Green G = 5
Total = 10
Apply tree diagram
Probability of choosing a red marble without replacement then a blue marble = Red, and Blue
'AND' in probability mean multiplication.
[tex]\begin{gathered} =\text{ }\frac{3}{10\text{ }}\text{ x }\frac{2}{9} \\ =\text{ }\frac{6}{90} \\ =\text{ }\frac{1}{15} \end{gathered}[/tex]Step 4: Final answer
Probability of choosing a red marble without replacement then a blue marble = 1/15