From 5d3903197eb0049038ecd6e8eb01ab61345587d4 Mon Sep 17 00:00:00 2001 From: Don Kirkby Date: Thu, 9 Nov 2023 19:21:21 -0800 Subject: [PATCH] Change odds to 1000 rolls in Manna Chess, for #17. --- docs/images/new_rules/diagram4.png | Bin 38769 -> 38254 bytes docs/new_rules.md | 4 +- raw_rules/new_rules.md | 134 ++++++++++++++--------------- 3 files changed, 69 insertions(+), 69 deletions(-) diff --git a/docs/images/new_rules/diagram4.png b/docs/images/new_rules/diagram4.png index 4e3f3678f2a0c775c28b72cd5e2e9258c68efdf9..88c48408cbebd7758f428f7c8e56507707306494 100644 GIT binary patch literal 38254 zcmb@u1yqz#yZ4O&D5-*Uh^REuHH3(CN_Tfkx2TASbc2*g$56u%QX<__LpMXi&^5%j zd7kH-b>8ng=lz~9mW$;YU~cZc@4ff+zkb*Mnh+HwX?z?C91IK$d|8<{su&ozB5%I# zVS(>tf7f3H|6!TROTWRmzWMi~AukpK;|YfB8*z27)U6rsSLzybzxPnA99wASpI@za zaChvIZP=6JZEP$ezuQ<$?pNB?StJ+4+oUws=B#ApIHxKTLKj?i@?Sb*>$-Ph8Z@qkc8XdNu z*z0(C2@Hr`3%9kkW#{JVLQ(^s2LuGndM)Am`TGmHu7tr`&N@^XiNmNN3DPv)pX+vh zg(fAD@lb@rTh2S~BO)S*A3xTC6bGb!_<(VKxGtfi 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For -example, if you chose the bottom-left corner 1296 times, here are how many times +example, if you chose the bottom-left corner 1000 times, here are how many times you would expect the manna to land in each square: ![Diagram](images/new_rules/diagram4.png) -You would also expect to miss the board 272 times, so you will drop a piece of +You would also expect to miss the board 210 times, so you will add a piece of manna roughly 8 out of 10 times you roll. You can see that the most likely square is the centre square opposite the corner diff --git a/raw_rules/new_rules.md b/raw_rules/new_rules.md index 11bf3bb..7831243 100644 --- a/raw_rules/new_rules.md +++ b/raw_rules/new_rules.md @@ -100,7 +100,7 @@ drop to allow a capture when you couldn't call check mate on the previous turn. ### Manna Strategy Because 7 is the most common roll with two dice, you have some control over where the manna will drop when you choose which corner to count from. For -example, if you chose the bottom-left corner 1296 times, here are how many times +example, if you chose the bottom-left corner 1000 times, here are how many times you would expect the manna to land in each square: . . . . . . . . @@ -111,72 +111,72 @@ you would expect the manna to land in each square: . . . . . . . . . . . . . . . . . . . . . . . . - text: 4, 1, 1 - text: 6, 1, 2 - text: 8, 1, 3 - text: 10, 1, 4 - text: 12, 1, 5 - text: 10, 1, 6 - text: 8, 1, 7 - text: 6, 1, 8 - text: 6, 2, 1 - text: 9, 2, 2 - text: 12, 2, 3 - text: 15, 2, 4 - text: 18, 2, 5 - text: 15, 2, 6 - text: 12, 2, 7 - text: 9, 2, 8 - text: 8, 3, 1 - text: 12, 3, 2 - text: 16, 3, 3 - text: 20, 3, 4 - text: 24, 3, 5 - text: 20, 3, 6 - text: 16, 3, 7 - text: 12, 3, 8 - text: 10, 4, 1 - text: 15, 4, 2 - text: 20, 4, 3 - text: 25, 4, 4 - text: 30, 4, 5 - text: 25, 4, 6 - text: 20, 4, 7 - text: 15, 4, 8 - text: 12, 5, 1 - text: 18, 5, 2 - text: 24, 5, 3 - text: 30, 5, 4 - text: 36, 5, 5 - text: 30, 5, 6 - text: 24, 5, 7 - text: 18, 5, 8 - text: 10, 6, 1 - text: 15, 6, 2 - text: 20, 6, 3 - text: 25, 6, 4 - text: 30, 6, 5 - text: 25, 6, 6 - text: 20, 6, 7 - text: 15, 6, 8 - text: 8, 7, 1 - text: 12, 7, 2 - text: 16, 7, 3 - text: 20, 7, 4 - text: 24, 7, 5 - text: 20, 7, 6 - text: 16, 7, 7 - text: 12, 7, 8 - text: 6, 8, 1 - text: 9, 8, 2 - text: 12, 8, 3 - text: 15, 8, 4 - text: 18, 8, 5 - text: 15, 8, 6 - text: 12, 8, 7 - text: 9, 8, 8 - -You would also expect to miss the board 272 times, so you will drop a piece of + text: 3, 1, 1 + text: 5, 1, 2 + text: 6, 1, 3 + text: 8, 1, 4 + text: 9, 1, 5 + text: 8, 1, 6 + text: 6, 1, 7 + text: 5, 1, 8 + text: 5, 2, 1 + text: 7, 2, 2 + text: 9, 2, 3 + text: 12, 2, 4 + text: 14, 2, 5 + text: 12, 2, 6 + text: 9, 2, 7 + text: 7, 2, 8 + text: 6, 3, 1 + text: 9, 3, 2 + text: 12, 3, 3 + text: 15, 3, 4 + text: 19, 3, 5 + text: 15, 3, 6 + text: 12, 3, 7 + text: 9, 3, 8 + text: 8, 4, 1 + text: 12, 4, 2 + text: 15, 4, 3 + text: 19, 4, 4 + text: 23, 4, 5 + text: 19, 4, 6 + text: 15, 4, 7 + text: 12, 4, 8 + text: 9, 5, 1 + text: 14, 5, 2 + text: 19, 5, 3 + text: 23, 5, 4 + text: 28, 5, 5 + text: 23, 5, 6 + text: 19, 5, 7 + text: 14, 5, 8 + text: 8, 6, 1 + text: 12, 6, 2 + text: 15, 6, 3 + text: 19, 6, 4 + text: 23, 6, 5 + text: 19, 6, 6 + text: 15, 6, 7 + text: 12, 6, 8 + text: 6, 7, 1 + text: 9, 7, 2 + text: 12, 7, 3 + text: 15, 7, 4 + text: 19, 7, 5 + text: 15, 7, 6 + text: 12, 7, 7 + text: 9, 7, 8 + text: 5, 8, 1 + text: 7, 8, 2 + text: 9, 8, 3 + text: 12, 8, 4 + text: 14, 8, 5 + text: 12, 8, 6 + text: 9, 8, 7 + text: 7, 8, 8 + +You would also expect to miss the board 210 times, so you will add a piece of manna roughly 8 out of 10 times you roll. You can see that the most likely square is the centre square opposite the corner