1.

(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.

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ANSWER :`(i) (6)/(13)` `(II) (3)/(8)`


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