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

Question 1205040: 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(52879) (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?
~~~~~~~~~~~~~~~~~~~~~~

The total number of balls is 8 + 10 + 2 = 20.
Since this experiment is with replacement, the situation after first draw and replacement
is the same as the starting situation.

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


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


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


(d)  P =  =  =  = 0.4 = 40%, independently of the first draw.    ANSWER

Solved.

All formulas are SELF-EXPLANATORY.

Your job is to understand the logic of the solution looking at the formulas.

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