Answer: The probability that his friend doesn't make a shot until his 5 th attempt is 0.00128.
Step-by-step explanation:
Since we have given that
Probability of making his shot = 80%
Probability of missing his shot = 20%
We need to find the probability that his friend doesn't make a shot until his 5th attempt.
So, our required probability would be
[tex](0.20)^4(0.8)\\\\=0.00128[/tex]
Hence, the probability that his friend doesn't make a shot until his 5 th attempt is 0.00128.