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Posted 2004-12-03, 04:55 PM
in reply to Titusfied's post "Problem #3?"
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Titusfied said:
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.
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Chance of defective for the first pick is 200/3000 = 6.6667%
Chance of defective for second pick is 199/2999 = 6.6355%
Chance of that happening is .4424%.
Chance the first was from box one: 100/200 = 50%.
Chance the second was from box one as well: 99/199 = 49.75%
Chance of both being from box one is 24.87%.
Unless you have to factor in the total number in each box... In which case... Fuck it. I get of in 5 minutes.
D3V said:
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