Jack and Jill are in an airplane soaring high above majestic Lake Tahoe. Jack is considering jumping out of the airplane but does not have a parachute. Jill is wearing the newest and keenest parachute ever made. Jack reasons that if he jumps out of the plane then Jill, being the gallant noble woman she is, is likely to jump out of the plane, bore through the wind like Greg Lemond in a time trial, and rescue him before he hits the water. Jack measures his happiness in life using MuggleMoney (mm). If he doesn’t jump out of the plane then his plane ride trip with Jill around the big lake is worth 100 mm. If he jumps out of the plane and Jill saves him he will receive 300 mm of happiness. If he jumps out of the plane and Jill doesn’t attempt to save him (and he hits the water with a big splat) his happiness falls to -100 mm. Please complete this sentence: Jack will jump out of the plane if he believes the probability of Jill ___________ is ___________ than ___________ percent.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Jack and Jill are in an airplane soaring high above majestic Lake Tahoe. Jack is considering jumping out of the airplane but does not have a parachute. Jill is wearing the newest and keenest parachute ever made. Jack reasons that if he jumps out of the plane then Jill, being the gallant noble woman she is, is likely to jump out of the plane, bore through the wind like Greg Lemond in a time trial, and rescue him before he hits the water. Jack measures his happiness in life using MuggleMoney (mm). If he doesn’t jump out of the plane then his plane ride trip with Jill around the big lake is worth 100 mm. If he jumps out of the plane and Jill saves him he will receive 300 mm of happiness. If he jumps out of the plane and Jill doesn’t attempt to save him (and he hits the water with a big splat) his happiness falls to -100 mm.

Please complete this sentence:

Jack will jump out of the plane if he believes the probability of Jill ___________ is ___________ than ___________ percent.

 

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