SOLUTION: An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn. What is the probability of (a) a white chip on the fi

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Question 1203543: An urn contains 8 red chips, 10 green chips, and
2 white chips. A chip is drawn and replaced, and
then a second chip drawn. What is the probability of
(a) a white chip on the first draw?
(b) a white chip on the first draw and a red on the
second?
(c) two green chips being drawn?
(d) a red chip on the second, given that a white chip
was drawn on the first?

Answer by ikleyn(52866)   (Show Source): You can put this solution on YOUR website!
.
An urn contains 8 red chips, 10 green chips, and
2 white chips. A chip is drawn and replaced, and
then a second chip drawn. What is the probability of
(a) a white chip on the first draw?
(b) a white chip on the first draw and a red on the
second?
(c) two green chips being drawn?
(d) a red chip on the second, given that a white chip
was drawn on the first?
~~~~~~~~~~~~~~~~~~

(a)  P =  =  = 0.1 = 10%.


(b)  P =  =  =  = 0.04 = 4%.


(c)  P =  =  =  = 0.25 = 25%.


(d)  P =  =  = 0.4 = 40%.

     "with replacement", the probability of the outcome at the second draw 
      does not depend on the outcome at the first draw.
      In other words, in this case, the outcome of the first draw does not matter, at all.

Solved.

-----------------------

Experiment " with replacement " means that after first draw,
the situation does return to the original one.



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