A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small monster has 27% chance of being a Phlogiston-subtype and a 47% chance of being an Aether-subtype; it cannot be both. What is the probability that exactly seven of the captured small monsters are Phlogiston-subtypes? What is the probability of all but five of the captured small monsters being either Phlogiston- or Aether- subtypes, with those five being plain Anachronism-type monsters of neither subtype? What is the probability that all thirty-one captured small monsters are either Phlogiston- or Aether-

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A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small monster has a
27% chance of being a Phlogiston-subtype and a 47% chance of being an Aether-subtype; it cannot be both.
What is the probability that exactly seven of the captured small monsters are Phlogiston-subtypes?
What is the probability of all but five of the captured small monsters being either Phlogiston- or Aether-
subtypes, with those five being plain Anachronism-type monsters of neither subtype?
What is the probability that all thirty-one captured small monsters are either Phlogiston- or Aether-
subtypes, with no plain Anachronism-type monsters captured?
Transcribed Image Text:A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small monster has a 27% chance of being a Phlogiston-subtype and a 47% chance of being an Aether-subtype; it cannot be both. What is the probability that exactly seven of the captured small monsters are Phlogiston-subtypes? What is the probability of all but five of the captured small monsters being either Phlogiston- or Aether- subtypes, with those five being plain Anachronism-type monsters of neither subtype? What is the probability that all thirty-one captured small monsters are either Phlogiston- or Aether- subtypes, with no plain Anachronism-type monsters captured?
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