Answer by Sudix for Probability you run out of white balls first?
Let's label the balls with $1,...,N$, so that the balls $1,...,w$ are white, and the others are red.We now draw all balls, and write down their exact order. Let $\Omega = (i_1,..,i_N)\in...
View ArticleAnswer by David K for Probability you run out of white balls first?
The act of drawing the balls produces a sequence of colors, equivalent to putting $r$ red balls and $w$ white balls in a row from left to right. Even though you may not draw all the balls, the fact...
View ArticleAnswer by user8675309 for Probability you run out of white balls first?
Depending on OP's (and the interviewer's) background, the below may or may not be more persuasive as this problem is a straightforward martingale. Reformulation:This game runs until there is only one...
View ArticleAnswer by ConMan for Probability you run out of white balls first?
Think of the order you draw the balls out as a sequence, and consider the very last ball in that sequence - whichever colour it is will be the colour left in the bag when you reach the given stopping...
View ArticleProbability you run out of white balls first?
I saw this question online (interview brainteaser prep), and can't get my head around it.You have $r$ red balls, $w$ white balls in a bag. If you keep drawing balls out of the bag until the bag only...
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