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math puzzler from "The Guardian"
Posted by: Todd's keyboard
Date: June 16, 2021 01:34PM

Re: math puzzler from "The Guardian"
Posted by: Lux Interior
Date: June 16, 2021 02:11PM

Re: math puzzler from "The Guardian"
Posted by: anonymouse1
Date: June 16, 2021 02:55PM

Re: math puzzler from "The Guardian"
Posted by: Will Collier
Date: June 16, 2021 03:02PM

Re: math puzzler from "The Guardian"
Posted by: PeterB
Date: June 16, 2021 03:12PM

Quote
Lux Interior
Red? Eliminates 50% of the choices, regardless
Face?
 Yes ==> eliminates 40/52  77%
 No ==> eliminates 12/52  23%
Ace?
 Yes ==> Done!
 No ==> eliminates 1/52  <2%
So, ask if it's face and hope for yes?
Re: math puzzler from "The Guardian"
Posted by: anonymouse1
Date: June 16, 2021 03:15PM

Quote
PeterB
Quote
Lux Interior
Red? Eliminates 50% of the choices, regardless
Face?
 Yes ==> eliminates 40/52  77%
 No ==> eliminates 12/52  23%
Ace?
 Yes ==> Done!
 No ==> eliminates 1/52  <2%
So, ask if it's face and hope for yes?
Right, but you haven't actually factored in the possibility of it being yes or no for each option. Figure this out using the sum and product rules of probability:
Red? (1/52) x (1/2)yes = 1/26, + (1/52) x (1/2)no = 1/26, 1/26 + 1/26 = 2/26 = 1/13 (7.69%)
Face? (1/52) x (12/52)yes = 12/2704 = 3/676, (1/52) x (40/52)no = 40/2704 = 10/676, 3/676 + 40/676 = 43/676 (6.36%)
Ace? (1/52) x (1/52)yes = 1/2704, (1/52) x (51/52)no = 51/2704, 1/2704 + 51/2704 = 52/2704 (1.92%)
... therefore my answer would be to ask if it's red, since this gives the highest probability of getting it right.
I think I did this correctly?
Re: math puzzler from "The Guardian"
Posted by: btfc
Date: June 16, 2021 03:23PM

Re: math puzzler from "The Guardian"
Posted by: anonymouse1
Date: June 16, 2021 03:52PM

Re: math puzzler from "The Guardian"
Posted by: btfc
Date: June 16, 2021 04:12PM

Re: math puzzler from "The Guardian"
Posted by: freeradical
Date: June 16, 2021 04:16PM

Re: math puzzler from "The Guardian"
Posted by: anonymouse1
Date: June 16, 2021 04:37PM

Re: math puzzler from "The Guardian"
Posted by: rgG
Date: June 16, 2021 05:27PM

Re: math puzzler from "The Guardian"
Posted by: RAMd®d
Date: June 16, 2021 06:39PM

Re: math puzzler from "The Guardian"
Posted by: mattkime
Date: June 16, 2021 07:02PM

Re: math puzzler from "The Guardian"
Posted by: DP
Date: June 16, 2021 07:59PM

Re: math puzzler from "The Guardian"
Posted by: Speedy
Date: June 17, 2021 05:25AM

Re: math puzzler from "The Guardian"
Posted by: Lux Interior
Date: June 17, 2021 06:12AM

Re: math puzzler from "The Guardian"
Posted by: rgG
Date: June 17, 2021 06:38AM
