Question: A contractor is planning a construction project to be completed in three stages. The contractor has estimated that the chance that the first stage will
A contractor is planning a construction project to be completed in three stages. The contractor has estimated that the chance that the first stage will be completed on time is 70%. She has also estimated that if the first stage is completed on time, the chance that the second stage will be completed on time is 80%. Finally, she has estimated that given both the first and second stages are completed on time, the chance of the third stage will be completed on time is 90%. What is the probability the project will be completed on time? Draw a probability tree to describe this problem. What can you extrapolate from this problem regarding large projects?
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