1. Tardigrade
  2. Question
  3. Mathematics
  4. For the married couple living in Jammu, the probability that a husband will vote in an election is 0.5 and the probability that his wife will vote is 0.4 . The probability that the husband votes, given that his wife also votes is 0.7 . Then, the probability that husband and wife both will vote is

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Q. For the married couple living in Jammu, the probability that a husband will vote in an election is $ 0.5 $ and the probability that his wife will vote is $ 0.4 $ . The probability that the husband votes, given that his wife also votes is $ 0.7 $ . Then, the probability that husband and wife both will vote is

J & K CETJ & K CET 2012Probability - Part 2

Solution:

Given, $ P\left( \frac{H}{F} \right)=0.7,\,\,P(H)=0.5 $
and $ P\,\,(W)=0.4 $
$ \therefore $ $ P\left( \frac{H}{W} \right)=\frac{P(H\cap W)}{P(W)} $
$ \therefore $ $ 0.7=\frac{P(H\cap W)}{0.4} $
$ \Rightarrow $ $ P(H\cap W)=0.28 $