Answer:
Probability of drawing two white marbles from each bag is 2/5.
Solution:
Consider A as first bag and B as second bag; Probability of drawing one white marble from A and B are P (A) and P (B) respectively
[tex]P(A)=\frac{\text {number of white marbles in } A}{\text {total number of marbles in } A}=\frac{3}{5}[/tex]
[tex]P(B)=\frac{\text {number of white marbles in } B}{\text {total number of marbles in } B}=\frac{6}{9}[/tex]
Since they are independent events, multiply both the probability of the events to find the total probability
[tex]\text { Total probability }=P(A) \times P(B)=\frac{3}{5} \times \frac{6}{9}=\frac{2}{5}[/tex]
Hence, the probability is 2/5
