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klimenkov
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There are \(n\) balls in the box. There are only black or white balls in the box. The number of white balls is unknown. Assume that that any number of white balls is equiprobable and find a probability to take a white ball from the box at the second time if the first ball that was taken is white. Balls are taken from the box randomly.
 2 years ago
 2 years ago
klimenkov Group Title
There are \(n\) balls in the box. There are only black or white balls in the box. The number of white balls is unknown. Assume that that any number of white balls is equiprobable and find a probability to take a white ball from the box at the second time if the first ball that was taken is white. Balls are taken from the box randomly.
 2 years ago
 2 years ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.0
oh maybe there is a different question this time? the set up is the same, but there is no question here
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
"... find a probability to take a white ball from the box at the second time..."
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
aaaah i thought maybe something different. no replacement i assume, and we don't know the first ball right?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
what do you want to bet it is one half?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I really don't see how anyone is supposed to come up with a sensible answer to this....
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
"...the first ball that was taken is white...find a probability to take a white ball from the box at the second time..."
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I repeat "I really don't see how...." :)
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
What about http://en.wikipedia.org/wiki/Bayes%27_theorem
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
How does that help?
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
Do you know where to use this theorem in general?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I might use Bayesian inference if I had some idea of the percentage of white balls to start with....
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
Do you know the formula of total probability?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
U mean this http://en.wikipedia.org/wiki/Law_of_total_probability
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
The problem here is that there is insufficient data on which to base any answer to the question.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Any number of white balls is equiprobable, but what about the number of black balls? Is the number of black balls known? Can't find a numerical answer here, but I suspect an algebraic expression at least is possible.
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.0
dw:1351374001717:dw
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
No. There is a numerical answer. Like in this http://openstudy.com/users/klimenkov#/updates/5083d8ade4b0dab2a5ec3294
 2 years ago
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