A distribution center receives shipments from three different factories in quantities of 50, 35, and 20. Three times a product is selected at random. Find the probability that all three products came from the second factory.

Question

A distribution center receives shipments from three different factories in quantities of 50, 35, and 20.  Three times a product is selected at random.  Find the probability that all three products came from the second factory.

anonymous · Answer

1/3 times1/3times1/3 = 1/27

anonymous · Answer

oh i don't think so

anonymous · Answer

ok now i think so.  sorry

anonymous · Answer

haha i didnt think so

anonymous · Answer

Total number is 50+35+20=105.  I believe it should be
$$(\frac{35}{105})^3$$

anonymous · Answer

Oh, whoops, that's the same thing that was written before.

anonymous · Answer

haha my problem changes everytime i answer it wrong.  now the numbers are 50, 40, and 25

anonymous · Answer

and it wants the probability that they came from the third factory

anonymous · Answer

Well, the way I did it should work.  Find the sum of all the units, then find the probability that a single unit came from the 3rd factory, and then cube the probability.

anonymous · Answer

It said the answer was 0.009 is that what you woulda got?

anonymous · Answer

I got 0.010

anonymous · Answer

yeah i didnt get the answer they wanted either haha

anonymous · Answer

Hm...I wonder why they're getting that.

anonymous · Answer

It was a weird process but I figured it out, thanks for trying