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A weather forecaster claims that the event it rains tomorrow is conditionally independent of the event it rained yesterday, given the event it rained today.

A weather forecaster claims that the event "it rains tomorrow" is conditionally independent of the event "it rained yesterday," given the event "it rained today." Explain what this means in everyday language. Discuss why this does not mean that the event "it will be sunny tomorrow" is independent of the event "it was sunny yesterday.

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