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Mathematics, 20.08.2021 02:10 sterlingrobinson35

Professor Plum, Mr. Green, and Miss Scarlet are all plotting to shoot Colonel Mustard. If one of these three has both an opportunity and the revolver, then that person shoots Colonel Mustard. Otherwise, Colonel Mustard escapes. Exactly one of the three has an opportunity with the following probabilities: Pr {Plum has opportunity} =1/6 Pr {Green has opportunity} = 2/6 Pr{Scarlet has opportunity} =3/6 Exactly one has the revolver with the following probabilities, regardless of who has an opportuntity: Pr {Plum has revolver} =4/8 Pr {Green has revolver} =3/8 Pr {Scarlet has revolver} =1/8 The probability that Colonel Mustard is shot = ; (the simplest form), where a = b= 9 The probability that Colonel Mustard is shot, given that Miss Scarlet does not have the revolver = ả (the simplest form), where c= d=

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