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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 If you randomly select one marble from each jar, calculate the probability of obtaining a red a blue and a green.

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vlatkostojanovic

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.

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