A casino roulette has 38 number outcomes 18 are Red, 18 are Black and 2 are Green for the house. Suppose that a gambler plays the roulette twice in order, but only for the color and consider the experiment whose outcome is the two observed results of the roulette such as Red-Back, Black-Red, Red-Red ...etc. 1. What are the possible outcomes of the experiment? Construct the joint probability distribution of the outcomes. 2. What is the probability that any of the two outcomes is Red and the other one is Black? 3. Give the conditional probability of the 2nd outcome being red conditioning on at least one of the two outcomes is red.

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