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In: Statistics and Probability

Assume that you want to play a game called “who is the murderer?” with a total...

Assume that you want to play a game called “who is the murderer?” with a total of seven suspects including Angelina, Boris, Chris, Dillon, Eve, Frank, and Gunther. Among them, Angelina and Eve are girls and all the other five suspects are boys. According to the polygraph and some other technology tools, you are sure about the following clues. • The number of murders is either one or two; • All the murderer(s) must be among them; • If Angelina is the murderer, the number of murderers is two; • If Chris is a murderer, so is Frank; • At least one of the girls is innocent; • If Frank is a murderer, so is Eve; • If both Gunther and Boris are innocent, Angelina is a murderer; • If Dillon is innocent, so is Gunther; • If both Chris and Dillon are innocent, so is Boris; • Angelina and Dillon cannot be both murderers; • If Dillon is a murderer, either Boris is a murderer or Gunther is innocent; • If Eve is murderer, either Chris is a murderer or Boris is innocent. Now, who did it? Why?

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