Answer:
Correct choice is B
Step-by-step explanation:
A bag contains 5 red marbles and 4 green marbles, 9 marbles in total.
The probability of choosing a red marble is
[tex]Pr(\text{1st marble is red})=\dfrac{5}{9}.[/tex]
After choosing the red marble, 8 marbles left. Then the probability of choosing a green marble is
[tex]Pr(\text{2nd marble is green})=\dfrac{4}{8}=\dfrac{1}{2}.[/tex]
Hence, the probability of choosing a red marble then a green marble, without replacement is
[tex]Pr=\dfrac{5}{9}\cdot \dfrac{1}{2}=\dfrac{5}{18}.[/tex]
