# Probability : Bayes' Theorem

In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view. A person is selected out of this category at random. Assuming the male female ratio to be equal find out the probability of the selected person being (a) a boy (b) a girl .

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#### Solution Preview

using Bayes' theorem

P1 = ½ = .5 P2 = ½ = .5

p1 = 10/100 = .1 p2 = 20/500 ...

#### Solution Summary

Probabilities are calculated using Bayes theorem.

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