SOLUTION: Two marbles are drawn one after the other without replacement from a bag that contains: 6 orange marbles, 8 blue marbles, and 6 white marbles. (a) Draw a tree diagram (with pr

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Question 1156230: Two marbles are drawn one after the other without replacement from a bag that contains:
6 orange marbles, 8 blue marbles, and 6 white marbles.
(a) Draw a tree diagram (with probabilities) to represent the sample space.

(b) Find the probability that one orange marble and one blue marble are drawn in either order.
The probability is :
(c) Find the probability that two white marbles are drawn.
The probability is :
(d) Find the probability that at least one marble is drawn that is not white.
The probability is :
(e) Find the probability that the second marble is orange if we know that the first marble is orange.
The probability is:

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
OB is 6/20*8/19
BO is 8/20*5/19 the total is 192/380=0.505
WW is 6/20(5/19)=15/190=0.0789
the complement of that is at least one marble is not white 0.9211.
If the first marble is orange the second is 5/19 the new sample space probability or 0.263

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