Question

Question 20 The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination?

Class X1 - Maths -Probability Page 405

Answer 1

Let H and E denotes the students passing in Hindi and English examination respectively .

A/C to question,
Probability that a student will pass the final examination in both Hindi and English is 0.5
e.g P( H ∩ E ) = 0.5 -------(1)

and Probability of passing neither is 0.1
e.g P(H'∩ E') = P(H U E)' = 0.1
we know,
P( A U B)' = 1 - P(A U B)
0.1 = 1 - P( H U E )
P( H U E ) = 0.9 ------------(2)

and Probability of passing the English examination is 0.75
e.g P( E ) = 0.75 -----------(3)

now, Probability of passing the Hindi examination = P( H) = ?
we know,
P( H U E ) = P(E ) + P(H) - P( H ∩ E)
0.9 = 0.75 + P( H ) - 0.5
P( H) = 0.65

Answer 2

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