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(i) A shop-keeper buys a particular type...

(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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The correct Answer is:
`(i) (6)/(13)` `(ii) (3)/(8)`
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