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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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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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