Question 1155088: Can somebody please help me? I don't get this problem. The National Weather Service (NWS) reports that the probability that Durango will be windy on a
given day is 20%, and the probability that it will be sunny on a given day is 73%. The NWS also reports that the probability Durango will be sunny on a windy day is 34%. What is the probability that Durango will be windy on a sunny day? Report your answer as a percent (rounded to the nearest percent).
Answer by ikleyn(52780)   (Show Source):
You can put this solution on YOUR website! .
This problem is ... how to say it better . . . - playing with terminology.
So, only the person who is familiar with the terminology and is confident in it, is able to understand this play.
The first statement says about 2 independent events (windy and sunny, separately, 0.2 and 0.73, respectively).
The second statement says about the CONDITIONAL probability, which, translated to the normal human language sounds
. . . the probability that Durango will be sunny, under the condition that it will be windy, is 0.34.
Then the question asks about OTHER conditional probability
. . . What is the probability that Durango will be windy under the condition that it will be sunny ?
.....................
So, I translated the problem for you in a human language.
Now, I do not want to deprive you the joy to solve the problem.
If you will be able to do it on your own, you will be happy.
If not -- then report to me through the TY window, and I will help you . . .
In this case, please refer to the problem's ID number 1155088 (otherwise, I will not know to whom to answer).
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On conditional probability, see the lessons
- Conditional probability problems
- More conditional probability problems
in this site.
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