10th Class
Mathematics
Probability
Question Bank
Probability
question_answer
The probability that a student will pass in mathematics is 3/5 and the probability that he will pass in English is 1/3. If the probability that he will pass in both mathematics and English is 1/8, what is the probability that he will pass in at least one subject?
A) \[\frac{97}{120}\]
B) \[\frac{87}{120}\]
C) \[\frac{53}{120}\]
D) \[\frac{120}{297}\]
Correct Answer:
A
Solution :
(a): \[P(pass)=P(A\cup B)\] \[=\frac{18}{40}+\frac{1}{8}+\frac{5}{24}\] We have: \[19/40+1/8+5/24-97/120\]