## A box contains $$10$$ light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from

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### A box contains $$10$$ light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from

by Gmat_mission » Sun Apr 11, 2021 2:43 am

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A box contains $$10$$ light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If $$n$$ of the bulbs in box are defective, what is the value of $$n?$$

(1) The probability that the two bulbs to be drawn will be defective is $$\dfrac1{15}.$$
(2) The probability that one of the bulbs to be drawn will be defective and the other will not be defective is $$\dfrac7{15}.$$