SOLUTION: Could you please explain how to work this problem? A box contains 18 microchips, of which 5 are defective. If 3 chips are selected at random from the box, what is the probability t
Algebra.Com
Question 903413: Could you please explain how to work this problem? A box contains 18 microchips, of which 5 are defective. If 3 chips are selected at random from the box, what is the probability that none of them are defective?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Could you please explain how to work this problem? A box contains 18 microchips, of which 5 are defective. If 3 chips are selected at random from the box, what is the probability that none of them are defective?
-------------
Note: 5 are defective, so 13 are not defective
---------------------------
P(none of the 3 is defective) = P(all 3 are good)
----
# of ways to select 3 that are not defective:: 13C3 = 286 ways
# of random sets of 3 chips:: 18C3 = 816
----
Ans: P(none of 3 are defective) = 286/816
---------------
Cheers,
Stan H.
---------------
RELATED QUESTIONS
Here is the final question for the assignment.
A quality control inspector samples... (answered by Edwin McCravy)
A quality control inspector samples 5 computer chips from a box containing 11 computer... (answered by stanbon)
Please help me solve this problem.
A box contains 24 batteries, 4 of which are... (answered by stanbon)
of all computer chips manufactured, 3% are defective. If a company produces 367 chips,... (answered by stanbon)
A box contains 11 transistors, 5 of which are defective. If 5 are selected at random find (answered by Fombitz)
A box contains 15 transistors, 3 of which are defective. If 3 are selected at random.... (answered by Alan3354)
A box contains 42 batteries, 7 of which are defective. If 5 are selected at random, find... (answered by stanbon)
A box contains 11 transistors , 5 of which were defective. If 5 are selected at random,... (answered by Fombitz)
A box contains 12 transistors , 5 of which were defective. If 5 are selected at random,... (answered by stanbon)