Answer:
0.128 is the probability that the third hole drilled is the first to yield a productive well.
Step-by-step explanation:
We are given the following information in the question:
The probability that he is successful on a given trial is 0.2
p = 0.2
q = 1 - p = 0.8
We define the geometric probability as:
[tex]P(X=x) = p(1-q)^{x-1}[/tex]
For this we have x = 3, putting the values we have:
[tex]P(X=x) = p(1-q)^{x-1}\\P(x=3) = 0.2(0.8)^2 = 0.128 = 12.8\%[/tex]
0.128 is the probability that the third hole drilled is the first to yield a productive well.
