On the same day the weather is changing moment by moment. It is either sunny (S),...

On the same day the weather is changing moment by moment. It is either sunny (S), cloudy (C) or rainy (R). If currently, it is sunny then it will be S, C or R the next moment with probabilities 0.5, 04, 0.1 respectively. If it is cloudy right now then it will be S, C or R next moment with probabilities 0.3, 0.4, 0.3. If it is rainy at the moment, then it will be S, C or R in the next moment with probabilities 0.2, 0.3, 0.5 respectively. Suppose that the weather is currently sunny. What is the probability that it is not rainy in any of the following three moments?

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orchestra answered 1 year ago

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