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According to a weather forecaster's subjective probability assessments, the probability of record-breaking rain during this year in Jamshedpur is 0.01. However, if Ranchi has a record-breaking rain, the probability is 0.5 that Jamshedpur will have a record-breaking rain. If Ranchi and Rourkela both have record-breaking rain, the probability that Jamshedpur will have record-breaking rain is 0.8. The probability that Ranchi will experience record-breaking rain if Rourkela experiences record-breaking rain is 0.6. The probability that Rourkela will experience record-breaking rain is 0.02. What is the probability that all three places will have record-breaking rain during this year?

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