12. Eight identical balls are placed in a container, except that 2 of the balls are red, and 6 are green. An experiment consists of picking 2 balls at random from the container, in sequence, without replacement. Draw the complete tree diagram for this experiment, including calculating the probabilities on the branch ends. The two variables of interest here are F and S , where F is the first pick, and S is the second pick. (a) Using only the probabilities shown on your tree diagram, along with the necessary probability formulae and rules, find the probability that the person picked a red on the first ball given that they picked a green on the second ball.

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