Answer: the probability that both marbles are white = [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
Given: The number of white marbles in Bag A = 3
Total marbles in Bag A = 5
The probability of drawing white marble from bag A:
[tex]P(A)=\dfrac{3}{5}[/tex]
The number of white marbles in Bag B=6
Total marbles in Bag B =9
The probability of drawing white marble from bag B:
[tex]P(B)=\dfrac{6}{9}[/tex]
Since both events are independent.
Thus, the probability that both marbles are white:
[tex]P(A)\times P(B)=\dfrac{3}{5}\times\dfrac{6}{9}=\dfrac{2}{5}[/tex]
