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Preparing for my stats final here... I must be missing something really simple or this question is just too easy. Here is the question:

5. An oil prospector will drill a succession of holes in a given area to find a productive well. The probability
that he is successful on a given trial is 0.2.
a. (4 pts) What is the probability that the third hole drilled is the first to yield a productive well?
b. (6 pts) If the prospector can afford to drill at most four wells, what is the probability that he will
fail to find a productive well?

my answers:

a) $ (0.8)^2(0.2) $
b) $(0.8)^4$

I'm sure there is more to this problem, can someone please help? thx

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As far as I can tell, you're perfectly correct.

Once you know the rules, questions like this can be quite easy, but you might be surprised as to how difficult some students can find them.

  • wow, that does indeed surprise me. Thanks for the feedback. I'm an undergrad student and I thought I must have missed something because there were 10 questions on a 3 hour long exam and this was one of them. – Sam Creamer Dec 13 '13 at 15:21