You toss independently a fair coin and you count the number of tosses until the first tail appears. If this number is n, you receive 2n dollars. What is the expected amount that you will receive?

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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You toss independently a fair coin and you count the number of tosses until the first tail appears.
If this number is n, you receive 2n dollars. What is the expected amount that you will receive?

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