This is a documentation for Board Game Arena: play board games online !

User:Sammy McSam/Hanabi/Examples page 2

From Board Game Arena
< User:Sammy McSam‎ | Hanabi
Revision as of 23:54, 3 October 2026 by Sammy McSam (talk | contribs) (Undo revision 31709 by Sammy McSam (talk))
Jump to navigation Jump to search

⚠ Work in progress

MediaWiki-note-icons.png​This is page 2 of Hanabi Examples

High trust deduction or blunder?

Alice's view | Bob's view | 2026-10-02

cards in the deckred1yellowgreen1bluewhite1multicolorblack powder
​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens1 clue tokens2 clue tokens3 clue tokens4 clue tokens5 clue tokens6 clue tokens7 clue tokens8 clue tokens
Discardedry1gbwm3
multicolour4,with a multicolour 4clue,green3,with a green 3clue,green4,with a green 4clue,red3,with a red 3clue,Alice 🡲red4,with a red 4clue,yellow1,with a yellow 1clue,red2,with a red 2clue,red2,with a red 2clue,Bob 🡲green1,with a green 1clue,black powder4,with a black powder 4clue,green3,with a green 3clue,green2,with a green 2clue,Cathy 🡲multicolour3,with a multicolour 3clue,red1,with a red 1clue,yellow4,with a yellow 4clue,blue2,with a blue 2clue,Donald 🡲green5,with a green 5clue,yellow5,with a yellow 5clue,white4,with a white 4clue,white5,with a white 5clue,Emily 🡲
Alice to Cathy: this card is a 3.

Alice skips Bob with the green3,with a green 3clue, fix to encourage Bob's first discard of the game.

Since there is high trust, the unnecessary loss of yellow1,with a yellow 1clue, earlier means Bob holds at least one other copy of yellow1,with a yellow 1clue,.
cards in the deckred1yellowgreen1bluewhite1multicolorblack powder
​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens1 clue tokens2 clue tokens3 clue tokens4 clue tokens5 clue tokens6 clue tokens7 clue tokens8 clue tokens
Discardedr2y1gbwm3
multicolour4,with a multicolour 4clue,green3,with a green 3clue,green4,with a green 4clue,red3,with a red 3clue,Alice 🡲red3,with a red 3clue,red4,with a red 4clue,yellow1,with a yellow 1clue,red2,with a red 2clue,Bob 🡲green1,with a green 1clue,black powder4,with a black powder 4clue,green3,with a green 3clue,green2,with a green 2clue,Cathy 🡲multicolour3,with a multicolour 3clue,red1,with a red 1clue,yellow4,with a yellow 4clue,blue2,with a blue 2clue,Donald 🡲green5,with a green 5clue,yellow5,with a yellow 5clue,white4,with a white 4clue,white5,with a white 5clue,Emily 🡲
Bob discards red2,with a red 2clue,. Again since there is high trust, Bob knows they must hold the other copy of red2,with a red 2clue, as well.
cards in the deckred1yellowgreen2bluewhite1multicolorblack powder
​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens1 clue tokens2 clue tokens3 clue tokens4 clue tokens5 clue tokens6 clue tokens7 clue tokens8 clue tokens
Discardedr2y14gbw4m3
multicolour4,with a multicolour 4clue,green3,with a green 3clue,green4,with a green 4clue,red3,with a red 3clue,Alice 🡲red3,with a red 3clue,red4,with a red 4clue,yellow1,with a yellow 1clue,red2,with a red 2clue,Bob 🡲red1,with a red 1clue,green1,with a green 1clue,black powder4,with a black powder 4clue,green3,with a green 3clue,Cathy 🡲multicolour3,with a multicolour 3clue,multicolour3,with a multicolour 3clue,red1,with a red 1clue,blue2,with a blue 2clue,Donald 🡲yellow3,with a yellow 3clue,green5,with a green 5clue,yellow5,with a yellow 5clue,white5,with a white 5clue,Emily 🡲
Cathy plays green2,with a green 2clue,.

Donald discards yellow4,with a yellow 4clue,.

Emily discards white4,with a white 4clue,.
cards in the deckred1yellowgreen2bluewhite1multicolorblack powder
​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens1 clue tokens2 clue tokens3 clue tokens4 clue tokens5 clue tokens6 clue tokens7 clue tokens8 clue tokens
Discardedr2y14gbw4m3
multicolour4,with a multicolour 4clue,green3,with a green 3clue,green4,with a green 4clue,red3,with a red 3clue,Alice 🡲red3,with a red 3clue,red4,with a red 4clue,yellow1,with a yellow 1clue,red2,with a red 2clue,Bob 🡲red1,with a red 1clue,green1,with a green 1clue,black powder4,with a black powder 4clue,green3,with a green 3clue,Cathy 🡲multicolour3,with a multicolour 3clue,multicolour3,with a multicolour 3clue,red1,with a red 1clue,blue2,with a blue 2clue,Donald 🡲yellow3,with a yellow 3clue,green5,with a green 5clue,yellow5,with a yellow 5clue,white5,with a white 5clue,Emily 🡲
Alice to Emily: these three cards are 5s.

Alice saves green5,with a green 5clue, because they think Bob knows to play yellow1,with a yellow 1clue, and red2,with a red 2clue,, Cathy will play green3,with a green 3clue, and Donald has no non-trash cards that can't be saved.

Note this encourages:

  • play of green3,with a green 3clue, smile​ but with black powder4,with a black powder 4clue, on chop frown​
  • discard of trash red1,with a red 1clue, smile​ and future discard of duplicate multicolour3,with a multicolour 3clue, smile​
  • discard of yellow3,with a yellow 3clue, frown​ and potentially locking Emily's hand frown​
If Alice instead discards, Cathy could save green5,with a green 5clue, and Emily may gain something to clue in Alice's hand, turning all frown​ into smile​.
cards in the deckred1yellowgreen2bluewhite1multicolorblack powder
​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens​ clue tokens1 clue tokens2 clue tokens3 clue tokens4 clue tokens5 clue tokens6 clue tokens7 clue tokens8 clue tokens
Discardedr2y14gbw4m3
multicolour4,with a multicolour 4clue,green3,with a green 3clue,green4,with a green 4clue,red3,with a red 3clue,Alice 🡲red3,with a red 3clue,red4,with a red 4clue,yellow1,with a yellow 1clue,red2,with a red 2clue,Bob 🡲red1,with a red 1clue,green1,with a green 1clue,black powder4,with a black powder 4clue,green3,with a green 3clue,Cathy 🡲multicolour3,with a multicolour 3clue,multicolour3,with a multicolour 3clue,red1,with a red 1clue,blue2,with a blue 2clue,Donald 🡲yellow3,with a yellow 3clue,green5,with a green 5clue,yellow5,with a yellow 5clue,white5,with a white 5clue,Emily 🡲
However does Bob really know if any of their slots can be safely played?

Assuming yellow1,with a yellow 1clue, and red2,with a red 2clue, were in Bob's starting hand, the possible combinations were:

red2,with a red 2clue,yellow1,with a yellow 1clue,black powder,with a black powder clue,red2,with a red 2clue, Bob 🡲 red2,with a red 2clue,black powder,with a black powder clue,yellow1,with a yellow 1clue,red2,with a red 2clue, Bob 🡲 black powder,with a black powder clue,red2,with a red 2clue,yellow1,with a yellow 1clue,red2,with a red 2clue, Bob 🡲

yellow1,with a yellow 1clue,red2,with a red 2clue,black powder,with a black powder clue,red2,with a red 2clue, Bob 🡲 yellow1,with a yellow 1clue,black powder,with a black powder clue,red2,with a red 2clue,red2,with a red 2clue, Bob 🡲 black powder,with a black powder clue,yellow1,with a yellow 1clue,red2,with a red 2clue,red2,with a red 2clue, Bob 🡲

where black powder,with a black powder clue, is any card, for example an unplayable multicolour2,with a multicolour 2clue,.

Can Bob narrow down the possibilities?

If there were just one more piece of contextual information to reduce the possible slot positions, such as a nice multicolour2,with a multicolour 2clue, bluff target that went unused while yellow1,with a yellow 1clue, / red2,with a red 2clue, was in slot 1 of the starting hand, then the only possibilities that remain would be: black powder,with a black powder clue,red2,with a red 2clue,yellow1,with a yellow 1clue,red2,with a red 2clue, Bob 🡲 black powder,with a black powder clue,yellow1,with a yellow 1clue,red2,with a red 2clue,red2,with a red 2clue, Bob 🡲 and so after red2,with a red 2clue, discard then slots 3 and 4 must be playable. However in the game there were only two valid bluff targets available:

  1. repeat blue or 2 on blue2,with a blue 2clue, (which gives no new information on the target)
  2. red1,with a red 1clue, trash bluff (which protects yellow4,with a yellow 4clue, for one extra turn)

both options are low in value and not enough context for Bob to know that their slot 1 was unplayable.

But why would Alice skip Bob with the green3,with a green 3clue, fix or the green5,with a green 5clue, save?

Just one example is enough to show that Bob should discard with a playable slot 1: With red2,with a red 2clue,multicolour2,with a multicolour 2clue,yellow1,with a yellow 1clue,red2,with a red 2clue, Bob 🡲 the team will wait for red2,with a red 2clue, discard so that they can clue red to splash a valuable multicolour2,with a multicolour 2clue,.

From Alice's view there was also low urgency to clue yellow1,with a yellow 1clue, / red2,with a red 2clue, since yellow2,with a yellow 2clue, / red3,with a red 3clue, were not visible.
⯇
⯈
⯇
⯈
↺
⯇
⯈
↺
⯇
⯈
↺
⯇
⯈
↺
⯇
↺


Endgame

3cards in the deckred3yellow4green5blue5white1multicolorblack powder 3 clue tokens

card back,with a clue,card back,with a clue,card back4,with a 4clue,card back5,with a 5clue, Alice 🡲 white2,with a white 2clue,black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue, Bob 🡲 black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,white5,with a white 5clue, Cathy 🡲 white3,with a white 3clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue, Donald 🡲 white4,with a white 4clue,black powder,with a black powder clue,black powder,with a black powder clue,white3,with a white 3clue, Emily 🡲

What is the critical colour?
Grouped by colour:
black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue,black powder,with a black powder clue, ​
black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
white,with a white clue,white2,with a white 2clue,black powder,with a black powder clue,black powder,with a black powder clue,white3,with a white 3clue, ​ white4,with a white 4clue,black powder,with a black powder clue,white5,with a white 5clue, ​
white (1 clue + 4 plays + 3 empty = 8 turns)
What is the critical card?
white2,with a white 2clue,
What is the critical move?
​
A) Alice clues Bob white2,with a white 2clue, / white2,with a white 2clue,
hint: don't choose A
B) Alice clues Donald white3,with a white 3clue, / white3,with a white 3clue,
C) Alice clues Emily white4,with a white 4clue, / white4,with a white 4clue,
D) Alice discards white4,with a white 4clue,
E) Alice (mis)plays white4,with a white 4clue,
F) Alice discards slot 1
G) Alice (mis)plays slot 1

What is the maximum score?

29
1. Group by colour:
black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue,black powder,with a black powder clue, ​
black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
white,with a white clue,white2,with a white 2clue,black powder,with a black powder clue,black powder,with a black powder clue,white3,with a white 3clue, ​ white4,with a white 4clue,black powder,with a black powder clue,white5,with a white 5clue, ​

2. Serialise:

white,with a white clue,white2,with a white 2clue,red4,with a red 4clue,yellow5,with a yellow 5clue,white3,with a white 3clue, ​ white4,with a white 4clue,black powder,with a black powder clue,white5,with a white 5clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
3cards in the deck2cards in the deck1cards in the deck0cards in the deckcards in the deck ​ cards in the deckcards in the deckcards in the deckcards in the deck ​
  • There are not enough turns for Alice to clue white2,with a white 2clue, and play both white4,with a white 4clue, and red5,with a red 5clue,.
  • Can Alice shorten the critical path?
30
1. Group by colour:
black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue,black powder,with a black powder clue, ​
black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
white,with a white clue,white2,with a white 2clue,black powder,with a black powder clue,white3,with a white 3clue,white4,with a white 4clue, ​ black powder,with a black powder clue,black powder,with a black powder clue,white5,with a white 5clue, ​

2. Serialise:

white,with a white clue,white2,with a white 2clue,red4,with a red 4clue,white3,with a white 3clue,white4,with a white 4clue, ​ red5,with a red 5clue,black powder,with a black powder clue,white5,with a white 5clue,yellow5,with a yellow 5clue, ​
3cards in the deck2cards in the deck1cards in the deck0cards in the deckcards in the deck ​ cards in the deckcards in the deckcards in the deckcards in the deck ​
  • Alice clues the unmarked white4,with a white 4clue, in Emily's hand (finesse) so that Alice has one card fewer to play and shortens the critical path.
Solution
​
A) Alice clues Bob white2,with a white 2clue, / white2,with a white 2clue, ❌ does not get the unmarked white3,with a white 3clue, / white4,with a white 4clue,
B) Alice clues Donald white3,with a white 3clue, / white3,with a white 3clue, ❌ does not get the unmarked white4,with a white 4clue,
C) Alice clues Emily white4,with a white 4clue, / white4,with a white 4clue, ❌ does not get the unmarked white3,with a white 3clue,
D) Alice discards white4,with a white 4clue, ✅ finesses up to white4,with a white 4clue,
E) Alice (mis)plays white4,with a white 4clue, ❌ interpretation = positional misplay
F) Alice discards slot 1 ✅ Donald and Emily both see Alice could have clued instead white4,with a white 4clue,
G) Alice (mis)plays slot 1 ❌ interpretation = positional misplay

Other possible options include trash push if both of Emily's other cards are the same rank (not 4) or colour (not white) e.g red1,with a red 1clue, yellow1,with a yellow 1clue, then Alice could clue red1,with a red 1clue, yellow1,with a yellow 1clue, to Emily's hand white4,with a white 4clue,red1,with a red 1clue,yellow1,with a yellow 1clue,white3,with a white 3clue, Emily 🡲

.
< Page 1