In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, What is the probability that he has offered English or Hindi ?
A. $$\frac{{2}}{{5}}$$
B. $$\frac{{3}}{{5}}$$
C. $$\frac{{3}}{{4}}$$
D. $$\frac{{3}}{{10}}$$
E. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & P(E) = \frac{{30}}{{100}} = \frac{3}{{10}}; \cr & P(H) = \frac{{20}}{{100}} = \frac{1}{5}\,\,{\text{and}} \cr & {\text{P }}\left( {{\text{E}} \cap {\text{H}}} \right)\,{\text{ = }}\frac{{10}}{{100}} = \frac{1}{{10}} \cr} $$P (E or H) = $$P(E \cup H)$$
= P(E) + P(H) - $$P(E \cup H)$$
$$\eqalign{ & = \left( {\frac{3}{{10}} + \frac{1}{5} - \frac{1}{{10}}} \right) \cr & = \frac{4}{{10}} \cr & = \frac{2}{5} \cr} $$
Related Questions on Probability
A. $$\frac{{1}}{{2}}$$
B. $$\frac{{2}}{{5}}$$
C. $$\frac{{8}}{{15}}$$
D. $$\frac{{9}}{{20}}$$
A. $$\frac{{10}}{{21}}$$
B. $$\frac{{11}}{{21}}$$
C. $$\frac{{2}}{{7}}$$
D. $$\frac{{5}}{{7}}$$
A. $$\frac{{1}}{{3}}$$
B. $$\frac{{3}}{{4}}$$
C. $$\frac{{7}}{{19}}$$
D. $$\frac{{8}}{{21}}$$
E. $$\frac{{9}}{{21}}$$
What is the probability of getting a sum 9 from two throws of a dice?
A. $$\frac{{1}}{{6}}$$
B. $$\frac{{1}}{{8}}$$
C. $$\frac{{1}}{{9}}$$
D. $$\frac{{1}}{{12}}$$
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