Math Problem Statement
An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
What is the probability that Sam’s first upgrade will occur after the third flight?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Geometric Distribution
Formulas
Probability of no upgrade: 1 - p
Probability of no upgrade in n trials: (1 - p)^n
Theorems
Geometric Distribution
Suitable Grade Level
Grades 9-12
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