bonanova Posted February 15, 2013 Report Share Posted February 15, 2013 A velvet bag contains 9 black marbles and 6 white ones. You draw them from the bag, one at a time. When you are finished you have, of course, more black marbles than white. What is the probability that, in addition, after each draw you have drawn cumulatively more black marbles than white? Quote Link to comment Share on other sites More sharing options...
0 witzar Posted February 15, 2013 Report Share Posted February 15, 2013 1/5 Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted February 15, 2013 Author Report Share Posted February 15, 2013 1/5 Well done. It might be of interest if you have a concise proof? Quote Link to comment Share on other sites More sharing options...
0 witzar Posted February 16, 2013 Report Share Posted February 16, 2013 Unfortunately not. I just wrote a recurrent equation (to count possible arrangements of marbles) and solved it using computer. Quote Link to comment Share on other sites More sharing options...
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bonanova
A velvet bag contains 9 black marbles and 6 white ones.
You draw them from the bag, one at a time.
When you are finished you have, of course, more black marbles than white.
What is the probability that, in addition, after each draw you have drawn cumulatively more black marbles than white?
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