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Suppose there are two illness conditions: sneezing or coughing. If today you are sneezing, the probability tomorrow of you having a cough is 0.7. If

Suppose there are two illness conditions: "sneezing" or "coughing." If today you are sneezing, the probability tomorrow of you having a cough is 0.7. If today you are coughing, the probability of tomorrow you sneezing is 0.4.

Suppose you are sneezing today. What is the probability that the day after tomorrow you will have a cough? (answer is 0.63)

Suppose you are sneezing today., and you coughed on the day before yesterday. What is the probability that yesterday you were sneezing? (answer is 0.333) How to set up the problem to arrive at the answers given?

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