Kaj_Sotala comments on Drawing Two Aces - Less Wrong

14 Post author: Eliezer_Yudkowsky 03 January 2010 10:33AM

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Comment author: AdeleneDawner 03 January 2010 08:24:59PM 0 points [-]

I'm almost done putting a diagram together, if you want it.

Comment author: Kaj_Sotala 03 January 2010 08:34:59PM 0 points [-]

Please do show it.

Comment author: AdeleneDawner 03 January 2010 08:43:24PM *  4 points [-]

Card Probabilities

The colors of the squares in the grids show how you'd answer the question 'Is your preferred ace the ace of spades?' and whether you have 1 or 2 aces. The 'P=' notation in the corner of each grid shows what you're preferring; in the first case you always prefer the first ace drawn; the latter two are meant to be read together and assume that you're picking which ace you prefer ahead of time with a coin toss. The red and green squares to the side show how many of each response you could see in each case.

Comment author: whpearson 03 January 2010 11:03:14PM 1 point [-]

Thanks that cleared it up for me. I've been trying analyse where I went wrong. I reformulated the question in a way that I didn't notice lost information

Comment author: AdeleneDawner 03 January 2010 09:42:18PM 0 points [-]

Also, simply asking "Do you have the ace of spades?' returns a chart that looks like the P=AS one; red (and peach, if 'Do you have an ace?' isn't asked first) squares are instances where you answer 'No', and the remaining 4 light green and 2 dark green squares show the 1 in 3 chance that you have 2 aces given that you answered 'Yes'.