Question

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.

Answer 1

Therefore, the probability is P=0.0054.

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:

`P(R)=(600)/(1000)=0.6\\\\P(W)=(400)/(1000)=0.4\\`

For jar 2 we have that:

`P(B)=(900)/(1000)=0.9\\\\P(W)=(100)/(1000)=0.1\\`

For jar 3 we have that:

`P(G)=(10)/(1000)=0.01\\\\P(W)=(990)/(1000)=0.99\\`

Therefore, we get

`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`

Therefore, the probability is P=0.0054.