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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? - Mathematics

MCQ

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?

Options

  • `1/2`

  • `3/4`

  • `4/5`

  • `2/5`

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Solution

`2/5`

Explanation:

`P(E)=30/100=3/10, P(H)=20/100=1/5`

and P(E∩H)= `10/100=1/10`

P(E    H) = P(E∪H)
= P (E) + P (H) - P (E∩H)

= `(3/10+1/5+1/10)`

= `4/10=2/5`

Concept: Probability (Entrance Exam)
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