Question

The probability that a light bulb is defective is 1/20 and the probability that its socket is defective is 1/50. A light bulb and socket are chosen at random. What is the probability that the bulb is good but the socket isn't?

(A) .05
(B) .02
(C) .95
(D) .98
(E) 1.9

Answer 1

hint:

if the probability that the light bulb is defective is 1/20 that means the probability it is good is 19/20

if the probability socket is defective is 1/50 then probability that socket is good would be 49/50

so probability that light bulb is good but socket is bad is

19/20 x 1/50

does that help?

Answer 2

Yes thank you!

Answer 3

welcome ^_^