Zoe Oneal

2020-12-05

To locate a fruitful well, an oil prospector will drill a series of holes in a particular area. The probability that he is successful on a given trial is 0.2. What is the chance that the third hole drilled will be the first to produce a successful well?

firmablogF

Skilled2020-12-06Added 92 answers

Given:
$p=0.2$
$q=1-p=1-0.2=0.8$

Definition geometric probability:$p(y)={q}^{y-1}p$

Evaluate at y = 3:$p(3)={0.8}^{3-1}\ast 0.2=0.128=12.8\mathrm{\%}$

Result:$0.128\text{}or\text{}12.8\mathrm{\%}$

Definition geometric probability:

Evaluate at y = 3:

Result:

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