In a class there are 60 boys and 40 girls. Among the boys as well as girls, half of them are Tamilians. If a student is selected at random then the probability of selecting a boy or Tamilian is

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$\frac{1}{5}$

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

answer is B.

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Detailed Solution

$L e t A = selecting a boy, B = selecting a tamilian, A \cap B = selecting a tamil boy ∴ P (A) = \frac{60}{100}, P (B) = \frac{50}{100}, P (A \cap B) = \frac{30}{100} \Rightarrow P (A \cup B) = \frac{60}{100} + \frac{50}{100} - \frac{30}{100} = \frac{80}{100} = \frac{4}{5}$

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