5) You want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. You provide each octopus with one circular disk and one flattened rectangle. You hide food under the circle. After several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle. You get the following results: Circles: 18 Rectangles: 4 Can the octopus tell the difference between circles and rectangles? (Hint: if the octopus can't tell the difference, what's the probability that he/she will pick a circle?)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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5) You want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. You provide each octopus with one circular disk and one flattened rectangle. You hide food under the circle. After several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle. You get the following results:

Circles: 18 Rectangles: 4
Can the octopus tell the difference between circles and rectangles?

(Hint: if the octopus can't tell the difference, what's the probability that he/she will pick a circle?)

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