Answer:
Therefore, the probability is P=0.0054.
Step-by-step explanation:
You have three jars containing marbles, as follows:
jar 1: 600 red and 400 white
jar 2: 900 blue and 100 white
jar 3: 10 green and 990 white
We calculate the probability of obtaining a red a blue and a green marbles.
We conclude that each jars have 1000 marbles.
For jar 1 we have that:
[tex]P(R)=\frac{600}{1000}=0.6\\\\P(W)=\frac{400}{1000}=0.4\\[/tex]
For jar 2 we have that:
[tex]P(B)=\frac{900}{1000}=0.9\\\\P(W)=\frac{100}{1000}=0.1\\[/tex]
For jar 3 we have that:
[tex]P(G)=\frac{10}{1000}=0.01\\\\P(W)=\frac{990}{1000}=0.99\\[/tex]
Therefore, we get
[tex]P(R\, B\, G)=P(R)\cdot P(B)\cdot P(G)\\\\P(R\, B\, G)=0.6 \cdot 0.9 \cdot 0.01\\\\P(R\, B\, G)=0.0054[/tex]
Therefore, the probability is P=0.0054.
