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Probability that a day in California is sunny is 0.9; Probability it is rainy is 0.1. If today is sunny, probability of raining tomorrow is

Probability that a day in California is sunny is 0.9; Probability it is rainy is 0.1.

  • If today is sunny, probability of raining tomorrow is 0.2
  • If today is sunny, probability of sunny tomorrow is 0.8
  • If today is rainy, probability of raining tomorrow is 0.7
  • If today is rainy, probability of sunny tomorrow is 0.3

Determine the probability that, under the condition that tomorrow is rainy, today is rainy as well?Instead of A and B used in a Bayes formula, please use TD to denote today and TM to denote tomorrow.

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