Alex makes 20% of his hockey goals that he attempts.  For a practice, he likes to shoot goals at the net until he makes one.  Let X be the number of shots it takes Alex to successfully make a hockey goal.    Find the probability that Alex's first successful shot occurs on  his 3rd try.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Alex makes 20% of his hockey goals that he attempts.  For a practice, he likes to shoot goals at the net until he makes one.  Let X be the number of shots it takes Alex to successfully make a hockey goal. 

 

Find the probability that Alex's first successful shot occurs on  his 3rd try. 

please show work

 

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