RE: Probability question: names in hats
March 15, 2016 at 12:52 pm
(This post was last modified: March 15, 2016 at 1:40 pm by Aractus.)
HA! I just worked out the proper solution. I'd neglected to put probability of n being selected into the formula correctly. Funnily enough adding it simplifies the formula hugely. Thus:
1. 9/10 - 1/10 * 1/9 = 8/9
2. 8/9 * (8/9 - 1/9 * 1/8) = 7/9
3. 7/9 * (7/8 - 1/8 * 1/7) = 6/9
4. 2/3 * (6/7 - 1/7 * 1/6) = 5/9
5. 5/9 * (5/6 - 1/6 * 1/5) = 4/9
6. 4/9 * (4/5 - 1/5 * 1/4) = 3/9
7. 1/3 * (3/4 - 1/4 * 1/3) = 2/9
8. 2/9 * (2/3 - 1/3 * 1/2) = 1/9
9. 8/9 * 1/9 * 1/2 = 8/162
1/81 = .01234567890123456789012345678901234567890123456789...
8/162 = .04938271604938271604938271604938271604938271604938...
This time I'm SURE it's correct, due to its eloquence.
1. 9/10 - 1/10 * 1/9 = 8/9
2. 8/9 * (8/9 - 1/9 * 1/8) = 7/9
3. 7/9 * (7/8 - 1/8 * 1/7) = 6/9
4. 2/3 * (6/7 - 1/7 * 1/6) = 5/9
5. 5/9 * (5/6 - 1/6 * 1/5) = 4/9
6. 4/9 * (4/5 - 1/5 * 1/4) = 3/9
7. 1/3 * (3/4 - 1/4 * 1/3) = 2/9
8. 2/9 * (2/3 - 1/3 * 1/2) = 1/9
9. 8/9 * 1/9 * 1/2 = 8/162
1/81 = .01234567890123456789012345678901234567890123456789...
8/162 = .04938271604938271604938271604938271604938271604938...
This time I'm SURE it's correct, due to its eloquence.
For Religion & Health see:[/b][/size] Williams & Sternthal. (2007). Spirituality, religion and health: Evidence and research directions. Med. J. Aust., 186(10), S47-S50. -LINK
The WIN/Gallup End of Year Survey 2013 found the US was perceived to be the greatest threat to world peace by a huge margin, with 24% of respondents fearful of the US followed by: 8% for Pakistan, and 6% for China. This was followed by 5% each for: Afghanistan, Iran, Israel, North Korea. -LINK
"That's disgusting. There were clean athletes out there that have had their whole careers ruined by people like Lance Armstrong who just bended thoughts to fit their circumstances. He didn't look up cheating because he wanted to stop, he wanted to justify what he was doing and to keep that continuing on." - Nicole Cooke
The WIN/Gallup End of Year Survey 2013 found the US was perceived to be the greatest threat to world peace by a huge margin, with 24% of respondents fearful of the US followed by: 8% for Pakistan, and 6% for China. This was followed by 5% each for: Afghanistan, Iran, Israel, North Korea. -LINK
"That's disgusting. There were clean athletes out there that have had their whole careers ruined by people like Lance Armstrong who just bended thoughts to fit their circumstances. He didn't look up cheating because he wanted to stop, he wanted to justify what he was doing and to keep that continuing on." - Nicole Cooke
