nontransitive dice (set of 4)
nontransitive dice (set of 4)card – nontransitive dice (set of 4) (1)card – nontransitive dice (set of 4) (2)

nontransitive dice (set of 4)


nontransitive (4) 662222

nontransitive (4) 662222

nontransitive (4) 555111

nontransitive (4) 555111

nontransitive( 4) 444400

nontransitive( 4) 444400

nontransitive (4) 333333

nontransitive (4) 333333

The actual dice may differ in colour and shape from those shown above. See the illustrations on the left and detailed product description below.

Product Description

You Choose, You Lose! – a set of 4 non-transitive dice

These dice have the peculiar property that no matter which of the four is chosen, at least one of the remaining three has a strong statistical advantage over it.
Invite your victim to examine the dice and point out that the numbering is non-standard, one even has blank faces, and that in fact the total number of spots on each dice varies. Ask them to choose any one of the four dice (they’ll probably choose the one with the most spots, but it doesn’t matter), then you select one of the remaining three. You both throw your dice at the same time and the highest number wins. If you do this, say ten times, you will almost certainly win more often than your opponent.
The reason is that these dice are what mathematicians call “non transitive dice.” They illustrate a probability paradox, or in other words they defy common sense! Imagine a game of scissors-paper-rock where your opponent chooses first. If they choose rock, you choose paper, if they choose paper, you choose scissors. You would always have the advantage. These dice work in a similar way.
Whichever of the four dice is chosen, you can choose one of the remaining three that will beat it 2 times out of 3.
[6,6,2,2,2,2] will beat [5,5,5,1,1,1] which will beat [4,4,4,4,0,0] which will beat [3,3,3,3,3,3] which will beat [6,6,2,2,2,2] !!!
Or to put it another way, black beats green beats blue beats yellow beats black.
The more times you throw the dice, the more likely it is that your total number of wins will be more than that of your opponent. Swindle your friends and family with the power of mathematics !!

You may also like …. other Nontransitive Dice options available further down this page:
Nontransitive Dice (set of 3)
Nontransitive Dice – Double Whammy

We have a dice information page where you can read about and compare all of our speciality dice.
Please click here dice info

Payment & Shipping

Shipping Information

Shipping within the U.K. is by first class untracked Royal Mail. For international orders we use untracked airmail. We usually ship within 2 days of receiving your order (except large 36mm dice, see below), although in unusual circumstances, we may take up to a week. Any longer and we will let you know.

The large red 36mm are made to order and will usually be shipped within one week – we will email you an estimated shipping date when we receive your order.

We charge shipping at a flat rate depending on your delivery address. These rates reflect the price it costs us to ship your order. We do not make a profit from shipping – in some cases we make a loss. All orders through the website will be charged at these rates, regardless of how many items you order.

(1) United Kingdom – 3.00 GBP
(2) Europe – 3.50 GBP
(3) The rest of the world – 4.00 GBP

If you are unsure which shipping zone applies to you, there is a Shipping Calculator on the cart page which you can check before going on to the checkout page.

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Terms & Conditions:

As a consumer, you have the right, to cancel the contract and receive a full refund.
You must inform us in either writing or electronic mail of your desire to cancel within seven working days commencing on the day after the day the goods are delivered to you. You then have a reasonable period to return the goods to us.
You must return the goods to us at your cost in an unused and re-saleable condition and we advise you to ensure the goods are adequately insured during any return journey.
We shall refund the total amount of money paid by you for the goods, within 30 days of cancellation in writing or electronic mail from you. This does not affect your statutory rights as a consumer.