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InfiniteDicePlayer

Let's learn how to play Inverted Dice!

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This tutorial exists thanks to: InfiniteDicePlayer0

InfiniteDicePlayerLet us learn how to play *Inverted Dice™*. Even though the rules are very simple, the game is abstract and difficult to master. 1maintitlebar_content

InfiniteDicePlayerThere are 20 rounds in the game. In each round, the player must get one of the scores *1* to *20*.3num2_13

InfiniteDicePlayerA round starts with the player rolling five dice.4archivecontrol_editmode_centercomment

InfiniteDicePlayerThe result of the roll is the sum of the dice values *not* present in the roll – that is, the sum of the numbers you do not see – an *inverted dice sum*. In the roll above, this sum is *2 + 5 + 6 = [green]13[/green]*. 5result

InfiniteDicePlayer[tip] The result of a roll can also be calculated as *[blue]21[/blue]* minus all *unique* values that you *do* see. Here, the unique shown values are *4* and *3* and *1*, so the inverted sum is *[blue]21[/blue] – 4 – 3 – 1 = [green]13[/green]*. 6result

InfiniteDicePlayerEvery turn, each player can reroll one or more dice to get a better score.8archivecontrol_editmode_centercomment

InfiniteDicePlayerThis player chooses to reroll *4*.9archivecontrol_editmode_centercomment

InfiniteDicePlayerThe player rolled *3*.1archivecontrol_editmode_centercomment

InfiniteDicePlayerThe result is now *[green]17[/green]* because *2 + 4 + 5 + 6 = [green]17[/green]*, and also because *[blue]21[/blue] – 3 – 1 = [green]17[/green]*. 2result

InfiniteDicePlayerThe player has one reroll left now.3reroll_95192596

InfiniteDicePlayerEach player can make *two rerolls* each turn. But *[green]17[/green]* is a good score, so the player keeps it.4num1_17

InfiniteDicePlayerA score was registered in the score table.1num1_17

InfiniteDicePlayerThe scored points were added to the total.2player_score_95192596

InfiniteDicePlayerNow it's your turn. Five dice have been rolled.3archivecontrol_editmode_centercomment

InfiniteDicePlayerThe score *[green]9[/green]* is highlighted in the table.4num2_9

InfiniteDicePlayerBut if you reroll *5*, you have a chance of getting a better result. Click on the die (the *5*) to choose it. Then click the *Reroll dice* button. 5page-title

InfiniteDicePlayerYou rolled *4*, so the inverted sum is now *[green]14[/green]*. [tip] Explanation: *4 + 2 + 1 = [red]7[/red]*, and *[blue]21[/blue] – [red]7[/red] = [green]14[/green]*.1result

InfiniteDicePlayer*[green]14[/green]* is a good result, so you keep it. Click in the table, or use the green button that says *Score result*.2num2_14

InfiniteDicePlayerYou have now scored *14 points*.1num2_14

InfiniteDicePlayerIt is your opponent's turn. The dice have been rolled.2archivecontrol_editmode_centercomment

InfiniteDicePlayerYour opponent chooses to reroll *6*.3archivecontrol_editmode_centercomment

InfiniteDicePlayerThe player rolled *4*, so the result is now *[green]11[/green]*. 1result

InfiniteDicePlayerThe player uses a second reroll on *4*.2archivecontrol_editmode_centercomment

InfiniteDicePlayerThis was the last possible reroll, so the player must score the result *[green]9[/green]*.1num1_9

InfiniteDicePlayerIt's your turn again. You have rolled the result *[green]5[/green]*. [tip] In the beginning of the game it's a good idea to try to get the lowest scores, especially *1* and *2*. If you reroll your *1* into a *5*, you'll get the result *1*.1archiveCommentElementPointerTargetInner

InfiniteDicePlayerLet us try to get the result *1* instead of *5*. Choose the die with the value *1* and reroll it. 2archivecontrol_editmode_centercomment

InfiniteDicePlayerYou rolled *6*, so the result is now *1 + 5 = [green]6[/green]*. Let's try again. 1archivecontrol_editmode_centercomment

InfiniteDicePlayerReroll the *6* in the middle (first, click on it to mark it). 2archivecontrol_editmode_centercomment

InfiniteDicePlayerYou rolled *1* again. This was you last reroll. Click to score the result *[green]5[/green]*. 1num2_5

InfiniteDicePlayerYour *5 points* have been scored, and your opponent rolled the result *[green]9[/green]*. [tip] The result is *[green]9[/green]* because neither *4* nor *5* is shown. Often it's easier to add all *shown* values (but only count each value once), then subtract this from *[blue]21[/blue]*. Here, *1 + 2 + 6 + 3 = [red]12[/red]*, and *[blue]21[/blue] – [red]12[/red] = [green]9[/green]*.1archivecontrol_editmode_centercomment

InfiniteDicePlayerThe player used the first reroll on *6* and rolled *1*. The result is now *[green]15[/green]*. 1result

InfiniteDicePlayerYour opponent scored *15 points*. It's now your turn. Let's try to get a lower score than *[green]9[/green]*. [tip] There is a *50 points* bonus if you score *1* to *5*. [tip] The scores in the middle section are rather easy to get. That's the reason we can wait a bit with these. 1archivecontrol_editmode_centercomment

InfiniteDicePlayerReroll *1* and *6*. Click on them, and then click the *Reroll dice* button.2archivecontrol_editmode_centercomment

InfiniteDicePlayerOK, we got the exact same result. 1archivecontrol_editmode_centercomment

InfiniteDicePlayerLet's try once more. Choose the same dice again, then click the *Reroll dice* button. 2archivecontrol_editmode_centercomment

InfiniteDicePlayerThat turned out to be a poor choice. You rolled *5* and *4*, so the result is *[green]5[/green]*. But you have already scored *[green]5[/green]*, and you do not have any rerolls left this turn. 1archivecontrol_editmode_centercomment

InfiniteDicePlayerYou need to *cross out* a score. This will give you *zero points* this turn. Click on the cross to mark the result *19*. Then click the blue *Confirm*-button. 2num2_19

InfiniteDicePlayerThe score *19* has been crossed out. You will not be able to get that in this game. [tip] This also means that the 50 points bonus for the scores *16* to *20* is unattainable for you in this game.1num2_19

InfiniteDicePlayerYour opponent's dice were rolled.2archivecontrol_editmode_centercomment

InfiniteDicePlayerThe game continues like this, turn after turn. There are three *50 points* bonuses in the game which you can get by scoring *1* to *5*, scoring *6* to *15*, and by scoring *16* to *20*. After twenty rounds, the player with most points win. That's all!3archivecontrol_editmode_centercomment

InfiniteDicePlayerNow you know the rules. The rest of this tutorial will discuss *how to think* (and a little *strategy*). If you are a beginner, play some games first to get acquainted with inverted dice sums. Then come back to this tutorial to learn more. Happy playing!4archivecontrol_editmode_centercomment

InfiniteDicePlayerOK, your opponent has rolled all values except *4*. Since none of the low numbers are scored, it is safe to try to get one of the two lowest scores (*1* or *2*). [tip] The chances of scoring *1* and *2* are the same.5result

InfiniteDicePlayerThe player chooses to reroll *1*.6archivecontrol_editmode_centercomment

InfiniteDicePlayerIf the player rolls *4*, the result will be *[green]1[/green]*. 7num1_1

InfiniteDicePlayerIf the player rolls *1*, the result will be *[green]4[/green]* (unchanged). 8num1_4

InfiniteDicePlayerIf the player rolls *2*, *3*, *6*, or *5*, the result will be *[green]5[/green]*. So, no matter what the player rolls, the result can be scored. It's a *safe roll*.9num1_5

InfiniteDicePlayerThe player rolled *3*. The inverted sum is now *[green]5[/green]*. Rerolling *3* again is still a safe roll. [tip] We want to score *1* and *2* as early as possible, since these scores are rather hard to get. 1num1_5

InfiniteDicePlayerThe player used the last reroll and got a *6*. The result *[green]5[/green]* must be scored. 1num1_5

InfiniteDicePlayerYour opponent scored *5*. Now it's your turn. Let's reroll two of the *4*'s to see if we can get a lower score than *[green]6[/green]*. [tip] Rerolling two *4*'s is not a safe roll, since rolling *1* together with either *4* or *5* or *6* would yield the result *5* (and that is already scored). But it's our first reroll, so we do it anyway.1archivecontrol_editmode_centercomment

InfiniteDicePlayerWe got the result *[green]6[/green]*. Let's try again. [tip] Rerolling the same two dice (*5* and *6*) again is not a safe roll, so we're taking a chance here. If we roll a *1* but no *2* and no *3*, the new result will be *[green]5[/green]* (and that score is already taken).1archivecontrol_editmode_centercomment

InfiniteDicePlayerWe rolled *6* and *2*, so now we can score *[green]4[/green]*.1num2_4

InfiniteDicePlayerYour opponent got an interesting roll here. Since there are two *2*'s, it is not optimal to go for low scores now. Instead, the player tries to get the score *16* by rerolling the sixes. [tip] If you want the result *16*, the sum of all distinct *shown* values must be *5*. And *2 + 3 = 5*, so the player will try to roll only twos and threes.1archivecontrol_editmode_centercomment

InfiniteDicePlayerThat roll was perfect! The score is now *[green]16[/green]*. [tip] Rolling only *twos* and *threes* is one way to get *[green]16[/green]*. Another way is to roll only *ones* and *fours*. Rolling only *fives* will also give the result *[green]16[/green]*, but the chance of that happening is pretty low.1result

InfiniteDicePlayerYour opponent scored *16 points*, and it's your turn. [blue]This tutorial will now fast-forward a few turns, and show you a few more intersting rolls.[/blue]1archivecontrol_editmode_centercomment

InfiniteDicePlayerIt's your opponent's turn. No *2*'s and *3*'s are among the rolled dice, so the result is *[green]5[/green]*. The player takes a risk and rerolls *5* and *1*. The aim is to roll a *3*. There's a good chance to get one of the scores *1*, *2* or *3*.1archivecontrol_editmode_centercomment

InfiniteDicePlayerStill no *3* present in the roll, so instead the player tries to get the result *14* or *13* by rerolling *4* and *6*. [tip] To get *14* or *13*, the sum of the distinct shown dice must be *[red]7[/red]* or *[red]8[/red]*, respectively. We have *5 + 2 = [red]7[/red]* and *5 + 2 + 1 = [red]8[/red]*. In other words, if none of the two dice come out as *3*, *4* or *6*, the result is good.1archivecontrol_editmode_centercomment

InfiniteDicePlayerThat didn't go well. A score must be crossed out.1archivecontrol_editmode_centercomment

InfiniteDicePlayerWhich bonus should be sacrificed? Well, it is almost impossible to get both scores *19* and *20* in the same game, so these scores are often the first to go. [tip] The probability for *19* and *20* is the same, so *19* is often the first choice since it's worth less than *20*.2num1_19

InfiniteDicePlayerYour opponent crossed out the score *19*. [blue]Let us fast-forward again.[/blue]1num1_19

InfiniteDicePlayerIt's your opponents sixteenth turn. As you can see, only the score *12* is missing in the middle section before the player gets the 50 points bonus.1num1_12

InfiniteDicePlayerBut the rolled dice have an inverted sum of *[green]9[/green]*. So, what should the player do? 2result

InfiniteDicePlayerWell, if you remove one of the *seen* values, it gets added to the result (the sum of *unseen* values). Luckily, *3* is among the seen values, and *[green]9[/green] + 3* is the desired result *12*. So, the player rerolls *3*.3archivecontrol_editmode_centercomment

InfiniteDicePlayerThe player rolled *6*, and the result is now *[green]12[/green]*. [tip] Was that luck? Well, not in particular. The player had *two* rerolls to roll either *1*, *2* or *6* with one die. There's a 75% chance of that happening.1archivecontrol_editmode_centercomment

InfiniteDicePlayerYour opponent scored *[green]12[/green]* and *50 points* were added to the total score.1player_score_95192596

InfiniteDicePlayerNow, it's your turn. Which die do you need to reroll to get the result *[green]11[/green]*?2archivecontrol_editmode_centercomment

InfiniteDicePlayer*3* right? Choose it and reroll.3archivecontrol_editmode_centercomment

InfiniteDicePlayerThat was easy! You can now score *[blue]21[/blue] – 10 = [green]11[/green]*. Well played!1num2_11

InfiniteDicePlayerThere is much more to be said about the game. But let us end this tutorial here. You are now ready to beat your friends in this cool dice game. Happy playing!1archivecontrol_editmode_centercomment

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Inverted Dice

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