Answer: 0.128
Step-by-step explanation:
The geometric probability of getting success on nth trial is given by :-
[tex]P(n)=p(1-p)^{n-1}[/tex]
Given : The probability that he is successful on a given trial[tex]p= 0.2[/tex].
Then , the probability that the third hole drilled is the first to yield a productive well is given by :-
[tex]P(3)=0.2(1-0.2)^{3-1}=0.128[/tex]
Hence, the probability that the third hole drilled is the first to yield a productive well = 0.128
