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An aquarium contains K gold fishes, along with 18 other kinds of fishes. If a random trio of fishes is caught from this aquarium, how many should K be such that there is at least a 50% chance of catching at least a gold fish among the three fishes caught?

An aquarium contains K gold fishes, along with 18 other kinds of fishes. If a random trio of fishes is caught from this aquarium, how many should K be such that there is at least a 50% chance of catching at least a gold fish among the three fishes caught?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 29T
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An aquarium contains K gold fishes, along with 18 other kinds of fishes. If a random trio of fishes is caught from this aquarium, how many should K be such that there is at least a 50% chance of catching at least a gold fish among the three fishes caught?
Transcribed Image Text:An aquarium contains K gold fishes, along with 18 other kinds of fishes. If a random trio of fishes is caught from this aquarium, how many should K be such that there is at least a 50% chance of catching at least a gold fish among the three fishes caught?
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