In a college, 25% of the boys and 10% of the girls offer mathematics. The girls constitute 60% of the total number of strudents. If a student is selected at random and is found to be studying Mathematics. The probability that the student is a girl is

(i) A shop-keeper buys a particular type of electric bulbs from three manfacturers M_(1) , M_(2) and M_(3) . He buys 25% of his requirement from M_(1) , 45% from M_(2) and 30% from M_(3) . Based on the past experience, he found that 2% of type M_(3) bulbs are defective, where as only 1% of type M_(1) and Type M_(2) are defective . If a bulb chosen by him at random is found defective find the probability that it was of type M_(3) . (ii) In a certain college, 25% of the boys and 10% of the girls are studying mathematics. The girls constitute 60% of the student strength . If a student is selected at random is found studying mathematics, find the probability that the student is a girl.

In a certain college, 25% of the boys and 10% of the girls are studying mathematics. The girls constitute 60% of the student strength. If a student selected at random is found studying mathematics, find the probability that the students is a girl.

In a certain college, 25% of the boys and 10% of the girls are studying mathematics. The girls constitute 60% of the student strength. If a student selected at radom is found studying mathematics, find the probability that the student is a girl.

In a class, 5% of the boys and 10% of the girls have an IQ of more than 150. In this class 60% of the students are boys. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

In a class, 5% of the boys and 10% of the girls have an IQ of more than 150. In this class 60% of the students are boys. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more that 150, find the probability that the student is a boy.

In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the students is a girls is …….

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.