A weather forecaster has a 60% chance of predicting the weather correctly today. If she is correct,
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Question:
A weather forecaster has a 60% chance of predicting the weather correctly today. If she is correct, then the probability of being correct the next day is 80%. If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day. Use a tree diagram to predict what the probability is that the forecaster will predict the weather correctly in exactly two of the next three days?
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