4) The Tauroto region contains 31 different species of IceCream-type small monsters. Each capture of an IceCream-type small monster has an equal chance of being any of the 31 species. a. If a collector captures five of these small monsters, what is the probability that they have captured at least two small monsters of the same species? b. What is the lowest number of IceCream-type small monsters that a collector must capture to make capturing at least two of the same species more likely than not? ww wwm

A First Course in Probability (10th Edition)
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4) The Tauroto region contains 31 different species of IceCream-type small monsters. Each
capture of
an IceCream-type small monster has an equal chance of being any of the 31 species.
a. If a collector captures five of these small monsters, what is the probability that they have
captured at least two small monsters of the same species?
b. What is the lowest number of IceCream-type small monsters that a collector must capture to
make capturing at least two of the same species more likely than not?
Transcribed Image Text:4) The Tauroto region contains 31 different species of IceCream-type small monsters. Each capture of an IceCream-type small monster has an equal chance of being any of the 31 species. a. If a collector captures five of these small monsters, what is the probability that they have captured at least two small monsters of the same species? b. What is the lowest number of IceCream-type small monsters that a collector must capture to make capturing at least two of the same species more likely than not?
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