SOLUTION: Two boxes contain parts. The first box has 9 parts, of which 8 are standard. The second box has 4 parts, with 1 being non-standard. One part from the first box is transferred to th

Algebra.Com
Question 1204804: Two boxes contain parts. The first box has 9 parts, of which 8 are standard. The second box has 4 parts, with 1 being non-standard. One part from the first box is transferred to the second box, and then three parts are taken from the second box. What is the probability that all three parts taken will be standard?
Found 2 solutions by Edwin McCravy, mccravyedwin:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I had some errors in drawing my tree diagram. I have fixed them 
and reposted the corrected version below.

Edwin
Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!
You should make a tree diagram like this:



Notice that the sum of the probabilities on the far right is 1.
.
There are 2 cases where he gets 3 standards, the top one with probability
4/15 and the third one down with probability 1/90.

So the probability that all three parts taken will be standard is

4/15 + 1/90 = 5/18.  I did not explain here how I got some of those
probabilities.  If you have any questions, ask me in the thank-you note
space below.

Edwin
RELATED QUESTIONS

Parts are placed in two boxes. The first box contains 8 parts, 6 of them meet the... (answered by Edwin McCravy)
I was just wondering if someone could double check my work on this problem: A box... (answered by Fombitz)
Suppose you are moving, and have 9 boxes. For this problem, order is not important.... (answered by stanbon)
A company orders 2 types of parts, brass and steel. They received 2 separate shipments of (answered by CubeyThePenguin)
A running track has an oval shape with straight sides (box shape) and semicircular ends... (answered by ankor@dixie-net.com)
A shipment of assembly parts from a vendor offering inexpensive parts is used in a... (answered by Boreal)
A shipment of assembly parts from a vendor offering inexpensive parts is used in a... (answered by ikleyn)
Divide 56 Into Two Parts Such That Three Times The First Parts Exceeds One Third Of The... (answered by lynnlo)
a box of parts contains 8 good items and 4 defective items. if 2 are selected at random... (answered by ewatrrr)