View Single Post
  #4  
Old 10-11-2005, 07:02 PM
David Sklansky David Sklansky is offline
Senior Member
 
Join Date: Aug 2002
Posts: 241
Default Re: Extremely Difficult Probability Problem

You must figure out ten results:

1. The chances that there is only one white marble in there and that you picked it ten times (10/1024 x 1/10,000,000,000).

2. The chances that there are two white marbles in there and you picked one of them ten times (45/1024 x 1024/10,000,000,000)

3. The chances that there are three white marbles in there and you picked one of them ten times (Ten choose three, divided by two to the tenth power, times the quantity three to the tenth power, divided by ten to the tenth power).

Same procedure up to nine

10. The chances that there are ten white balls in there times the chances you picked ten white balls is simply 1/1024 times 1.

Final answer is 1/1024 (The number 10 result) divided by the sum of all the results.
Reply With Quote