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I require assistance There's a 1/7 chance of rain tomorrow and a 6/7 chance of sunshine tomorrow. We know that if it rains tomorrow there's

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There's a 1/7 chance of rain tomorrow and a 6/7 chance of sunshine tomorrow. We know that if it rains tomorrow there's a 2/13 chance that it will rain the next day (and 11/13 chance that it will be sunshine the next day). If it is sunny tomorrow, there's a 1/11 chance that it will rain the next day (and 10/11 chance that it will be sunshine). It's now two days in the future (aka the day after tomorrow) and you go outside and notice it is sunny. What are the chances it was sunny yesterday? (Give at least four decimal places)

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