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October 23, 2014

October 23, 2014

Posted by **SHANKAR** on Friday, May 30, 2008 at 3:22am.

- MLG -
**drwls**, Friday, May 30, 2008 at 6:19amAmong 1000 random students (say), there will be 600 women of whom 6 (1%) are 1.8 meters or more high. There will be 400 men of whom 16 (4%) are that high.

Since the selection was made at random from the student population and ended up with one of the taller people, the chances it is a woman are

6/(16 + 6) = 27% That is the fraction of "tall people" that are women.

There is a way to do this using Bayes' theorem of conditional probabilities, which I can never remember, but it should give the same result.

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