Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles. A person draws
one marble from each bag. Find the probability that both marbles are white.
2/5
3/5
9/14

Respuesta :

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Bag A:

White = 3

Total = 3 White + 2 Red = 5

Prob (white marble from A) = [tex]\frac{3}{5}[/tex]

Bag B:

White = 6

Total = 6 White + 3 Red = 9

Prob (white marble from B) = [tex]\frac{6}{9}[/tex]

Prob (white from Bag A and white from Bag B)

= Prob (white marble from A) x Prob (white marble from B)

= [tex]\frac{3}{5}[/tex] x [tex]\frac{6}{9}[/tex]

= [tex]\frac{2}{5}[/tex]