10 names in a hat — odds that no one picks themself?











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I have an annual tradition where 10 names are placed in a hat, and those same 10 members randomly select one at a time. If anyone selects their own name, the entire process restarts.



What are the odds that all 10 people select a name that is NOT themself?










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  • google.com/url?sa=t&source=web&rct=j&url=http://….
    – Oscar Lanzi
    Nov 18 at 18:51










  • This is a derangement problem. Did you mean probability rather than odds?
    – N. F. Taussig
    Nov 18 at 19:20










  • Yes, I suppose probability would be the correct term here. Given the conditions described above, how would that be calculated?
    – CDutton
    Nov 19 at 19:13















up vote
0
down vote

favorite












I have an annual tradition where 10 names are placed in a hat, and those same 10 members randomly select one at a time. If anyone selects their own name, the entire process restarts.



What are the odds that all 10 people select a name that is NOT themself?










share|cite|improve this question






















  • google.com/url?sa=t&source=web&rct=j&url=http://….
    – Oscar Lanzi
    Nov 18 at 18:51










  • This is a derangement problem. Did you mean probability rather than odds?
    – N. F. Taussig
    Nov 18 at 19:20










  • Yes, I suppose probability would be the correct term here. Given the conditions described above, how would that be calculated?
    – CDutton
    Nov 19 at 19:13













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have an annual tradition where 10 names are placed in a hat, and those same 10 members randomly select one at a time. If anyone selects their own name, the entire process restarts.



What are the odds that all 10 people select a name that is NOT themself?










share|cite|improve this question













I have an annual tradition where 10 names are placed in a hat, and those same 10 members randomly select one at a time. If anyone selects their own name, the entire process restarts.



What are the odds that all 10 people select a name that is NOT themself?







probability conditional-probability






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share|cite|improve this question










asked Nov 18 at 18:49









CDutton

1




1












  • google.com/url?sa=t&source=web&rct=j&url=http://….
    – Oscar Lanzi
    Nov 18 at 18:51










  • This is a derangement problem. Did you mean probability rather than odds?
    – N. F. Taussig
    Nov 18 at 19:20










  • Yes, I suppose probability would be the correct term here. Given the conditions described above, how would that be calculated?
    – CDutton
    Nov 19 at 19:13


















  • google.com/url?sa=t&source=web&rct=j&url=http://….
    – Oscar Lanzi
    Nov 18 at 18:51










  • This is a derangement problem. Did you mean probability rather than odds?
    – N. F. Taussig
    Nov 18 at 19:20










  • Yes, I suppose probability would be the correct term here. Given the conditions described above, how would that be calculated?
    – CDutton
    Nov 19 at 19:13
















google.com/url?sa=t&source=web&rct=j&url=http://….
– Oscar Lanzi
Nov 18 at 18:51




google.com/url?sa=t&source=web&rct=j&url=http://….
– Oscar Lanzi
Nov 18 at 18:51












This is a derangement problem. Did you mean probability rather than odds?
– N. F. Taussig
Nov 18 at 19:20




This is a derangement problem. Did you mean probability rather than odds?
– N. F. Taussig
Nov 18 at 19:20












Yes, I suppose probability would be the correct term here. Given the conditions described above, how would that be calculated?
– CDutton
Nov 19 at 19:13




Yes, I suppose probability would be the correct term here. Given the conditions described above, how would that be calculated?
– CDutton
Nov 19 at 19:13















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