Question: Let A be a random variable that represents the daily outcome for the US equities market, and B is a random variable that represents

Let A be a random variable that represents the daily outcome for the US equities market, and B is a random variable that represents the daily outcome for the European equities markets. Both random variables have three possible outcomes: up, down, or unchanged. Suppose the joint probability that both markets are up in a given day is 0.12 and the probability that the European market is up equals 0.4. What is the probability that the US market is up given that the European market was up earlier in the same day?

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