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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
Transcribed Image Text: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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