Box 1 contains 1000 bulbs of which 10% are defective. Box 2 contains 2000 bulbs of which 5% are defective. Two bulbs are picked from a randomly selected box.
(a) Find the probability that both bulbs are defective.
(b) Assuming that both are defective, find the probability that they came from box 1.
*Not the easiest problem, but very doable for y'all.
(a) If it is selected at random then that means that there is a 7.5% chance that one would be defective. Sqaure that, and you get .5625% chance that they are both defective.
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