9.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 .2. (a) What is the probability that the third hole drilled is the first to yield a productive well? (b) If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?
9.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 .2. (a) What is the probability that the third hole drilled is the first to yield a productive well? (b) If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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9.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 .2.
(a) What is the probability that the third hole drilled is the first to yield a productive well?
(b) If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?
10. Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head?
11. A certified public accountant (CPA) has found that nine of ten company audits contain substantial errors. If the CPA audits a series of company accounts, what is the probability that the first account containing substantial errors
(a) Is the third one to be audited?
(b) Will occur on or after the third audited account?
12. An urn contains ten marbles, of which five are green, two are blue, and three are red. Three marbles are to be drawn from the urn, one at a time without replacement. What is the probability that all three marbles drawn will be green?
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