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# Use the following to answer the questions below:A computer science student is writing a simplified ...

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Use the following to answer the questions below:

A computer science student is writing a simplified version of the classic murder-mystery game Clue for his class project. In his implementation, there are three equally likely suspects: Miss Scarlet, Colonel Mustard, and Professor Plum. If Miss Scarlet is the murderer, there is a 40% chance she uses the knife, 35% chance she uses the lead pipe, and a 25% chance she uses the rope. If Colonel Mustard is the murderer, there is a 20% chance he uses the knife, a 30% chance he uses the lead pipe, and a 50% chance he uses the rope. If Professor Plum is the murderer, there is a 30% chance he uses the knife, a 40% chance he uses the lead pipe, and a 30% chance he uses the rope.

Round all answers to three decimal places.

What is the probability that the knife is the murder weapon?
Textbook

## Statistics: Unlocking the Power of Data

Edition: 3rd
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