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Identifying Conditional Probability from Tables

Identifying Conditional Probability from Tables

BoyGirls
Wear glasses2111
Do not wear glasses918

Let \(W\) be event when student selected wearing glasses.
Let \(B\) be event when student selected is a boy.
Find

  1. \(\mathrm{P}\left( \mathrm{W}|\mathrm{B} \right)\)
  1. \(\mathrm{P}\left( \mathrm{B}'|\mathrm{W}' \right)\)
  1. \(\mathrm{P}\left( \mathrm{B}|\mathrm{W} \right)\)

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Answer:(i) \(\frac{7}{10}\) (ii) \(\frac{2}{3}\) (iii) \(\frac{21}{32}\)

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