Question

If in the examination $20$ failed in Hindi, $25$% failed in English and $7$% failed in both subject then the percentage of student who failed in atleast one of the subjects?

• A. $50$%
• B. $45$%
• C. $55$%
• D. $38$%

Answer 1

The correct option is D $38$%

Given,

Probability of students fail in hindi $P\left(h\right)=20$

Probability of students fail in English $P\left(e\right)=25$

Probability of students fail in both the subject $P(h\cap e)=7$

Probability of students fail in at least one subject

$P(h\cup e)=P\left(h\right)+P\left(e\right)-P(h\cap e)$

$=20+25-7=38$

Hence Probability of students fail in at least one subject is $38$%.