SOLUTION: A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips ar

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Question 1067724: A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Tree diagram works well here.
If the first three are red, (3/5)(1/2)(1/3)=1/10 probability, last one drawn must be white
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If first two are red the next white, and the next red, the last will be white.
That is 1/10
If the first is red, the second white, and the next two red, the last will be white. That is probability 1/10.
If the first is white, and the next three red, that works, and has probability also of 1/10.
The probability the last one is white is 3/5.