nontransitive dice (set of 3)
nontransitive dice (set of 3)card nontransitive dice (set of 3) (1)nontransitive dice (set of 3) (2)

nontransitive dice (set of 3)


nontransitive (3) 222555

nontransitive (3) 222555

nontransitive (3) 444441

nontransitive (3) 444441

nontransitive (3) 633333

nontransitive (3) 633333

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 3 non-transitive dice .

These dice have the peculiar property that no matter which of the three is chosen, one of the remaining two has a statistical advantage over it. Invite your victim to examine the dice and point out that although the numbering is different, all three dice have the same total number of spots as an ordinary die, ie 21 spots. Ask them to choose any one of the three dice, then you select one of the remaining two. 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. Despite the fact that they all have the same number of spots, there is a statistical likelihood that each of them will beat one of the remaining ones and be beaten by the other:
4,4,4,4,4,1 will beat 3,3,3,3,3,6 25 times out of 36
3,3,3,3,3,6 will beat 2,2,2,5,5,5 21 times out of 36
2,2,2,5,5,5 will beat 4,4,4,4,4,1 21 times out of 36
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 4)
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

Shipping & Payment

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.

Payment Information

Our preferred method of payment is by PayPal, but you can also pay by cheque or direct bank transfer.

When you reach the ‘cart’ page your choice is ‘Check out with PayPal’ or ‘Proceed to Checkout’

To use your PayPal account: You should click ‘Check out with PayPal’. You will be taken to the PayPal website where your payment will be verified. You will then return to our website to confirm your order.

To pay by credit card: You should click ‘Check out with PayPal’. You will be taken to a secure PayPal page where you can choose to pay with any of the major credit cards and enter your delivery address. You will then return to our website to confirm your order.

To pay by cheque: This option is only available to customers with British bank accounts. You should click ‘Proceed to Checkout’, fill out the billing details, then select “Cheque Payment”. You will be given instructions on where to the post the cheque. Your order will be reserved until your cheque has cleared, then it will be shipped to you.

To pay by direct bank transfer: only choose this option if you know how much your bank charges you for the service. The buyer is liable for all fees and this may be expensive if you are transferring funds internationally. It is usually free between British banks. You should click ‘Proceed to Checkout’, fill out the billing details, then select “Direct Bank Transfer”. You will be provided with all the banking details you require. Your order will be reserved until your payment has cleared, then it will be shipped to you.

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.