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Is it true? (Posted on 2016-05-02) Difficulty: 1 of 5
If the proportion of blonds among blue-eyed people is greater than among the population as a whole, is it also true that the proportion of blue-eyed people among blonds is greater than among the population as a whole?

Please justify your YES/NO answer. (By A. Savin)

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Solution Solution by formulas Comment 2 of 2 |
a=blonde, b=blue-eyed

The given statement is the conditional probability

Which by definition is 
P(a and b)/P(b) > P(a)

A bit of manipulation gives
P(a and b)/P(a) > P(b)

Convert back to conditional probability

Which is the answer to the question: YES

  Posted by Jer on 2016-05-02 09:19:38
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