In this experiment there are two urns. One urn contains 6 red balls and the other one 6 blue balls.

In this experiment there are two urns. One urn contains 6 red balls and the other one 6 blue balls. The experiment consists of randomly picking one ball from each urn and then to place them in opposite urns. The experiment ends when both urns have the same number of red and blue balls.

Create a table containing N- the number of round and P the probability that the experiment would end before or at exactly that round. Do it for N=1,2,3,4,5,6,7,8,9.

Answer the following questions:

Question 1. What is the probability that the experiment will be done after the first round?

Question 2. What is the probability that the experiment will be done after the third round?

Question 3. What is the probability that the experiment will be done after the fourth round?

Question 4. What is the probability that the experiment will be done in the fifth round?

Question 5. What is the probability that the experiment will be done in the seventh round?

Question 6. What is the probability that the experiment will be done in the ninth round?

 

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