A geological study indicates that an exploratory oil well drilled in a certain region should strike oil with probability 0.25. Find the probabilities of the following events. a The first strike of oil comes after drilling three dry (nonproductive) wells. b Three dry wells are hit before obtaining the third strike of oil. C What assumptions must be true for your answers to be correct?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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without using the negative binomial distribution 

A geological study indicates that an exploratory oil well drilled in a certain region should strike oil
with probability 0.25. Find the probabilities of the following events.
a The first strike of oil comes after drilling three dry (nonproductive) wells.
b Three dry wells are hit before obtaining the third strike of oil.
C What assumptions must be true for your answers to be correct?
Transcribed Image Text:A geological study indicates that an exploratory oil well drilled in a certain region should strike oil with probability 0.25. Find the probabilities of the following events. a The first strike of oil comes after drilling three dry (nonproductive) wells. b Three dry wells are hit before obtaining the third strike of oil. C What assumptions must be true for your answers to be correct?
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