Suppose that on a small tropical island there are only two kinds of day: sunny days and

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Suppose that on a small tropical island there are only two kinds of day: sunny days and rainy days. The probability that a sunny day is followed by a rainy day is 0.6, and the probability that a rainy day is followed by another rainy day is 0.8. The weather on any day depends upon the previous day’s weather but not upon any earlier days. Find the probability that if Thursday is rainy then it will be sunny on Saturday.

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