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Inga [223]
3 years ago
6

An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is success

ful on a given trial is .2. a What is the probability that the third hole drilled is the first to yield a productive well
Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

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:

P(X=x) = p(1-q)^{x-1}

For this we have x = 3, putting the values we have:

P(X=x) = p(1-q)^{x-1}\\P(x=3) = 0.2(0.8)^2 = 0.128 = 12.8\%

0.128 is the probability that the third hole drilled is the first to yield a productive well.

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