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Question

A box contains 20 electric bulbs , out of which  4 are defective . Two bulbs are chosen at random from  this box.The probability  that at  least one of  these is defective is  :


Options:
A .  `4/19`
B .  `7/19`
C .  `12/19`
D .  `21/95`
Answer: Option B

P (None is defective ) = `(16_(C_2))/(20_(C_2)) = ((16 xx 15)/(2 xx 1) xx (2 xx 1)/(20 xx 19)) = 12/19`

P ( at least one is defective ) = `(1 - 12/19) =  7/19`



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