Independent guide and original Palette Relay

A round draws four independent uniform colours, each from R, B, Y or G. The first two form one pair and the last two another. Each pair is treated as a set: repeated colours within it count once. The score is the number of distinct colours present in both sets. Before drawing, choose an exact score ticket 0,1 or 2. This counts shared colours anywhere in the pairs, not top-to-bottom positional matches. The same colour appearing four times contributes only one shared set member. One captured stake covers the entire four-colour round.

There are 256 equally likely ordered four-colour results. Score 0 occurs 84 times, score 1 occurs 148 times and score 2 occurs 24 times. Their probabilities are 84/256=21/64,148/256=37/64 and 24/256=3/32. Score 0 is a valid ticket, not an empty or unavailable category. These probabilities include all repeated-colour cases. They are not the probabilities for two independent positional matches or three dice. A ticket remains at its displayed probability regardless of the previous round or selected stake.

A winning ticket pays gross multiplier 0.96 divided by its exact category probability. Tickets 0,1 and 2 therefore pay approximately 2.9257142857×,1.6605405405× and 10.24× respectively. If the score differs from the captured ticket, the return is zero. Each ticket has 96% expected gross return relative to the stake under the uniform model. This is not a 96% win probability or a guarantee for a session. Gross return includes the stake; profit is the gross amount minus the stake. There is no separate fee or second normalization at settlement.

The initial balance is 1,000 free virtual coins without monetary value or prize entitlement. The settled balance and fractional payout carry are kept in local browser storage when available. A fraction is carried into later settlements rather than discarded on each payout. Restore balance is available only while idle and below the minimum stake of 10. It sets the balance to 1,000, rather than adding 1,000, and preserves the fraction. It is a manual button, not an automatic reset or a refund for an interrupted round.

R,R | R,R has one shared colour and score 1. R,B | B,R has two shared colours and score 2 despite reversed positions. R,B | Y,G has no shared colour and score 0. R,R | R,B has score 1. Every individual draw remains uniform among four colours. Letters identify colours without relying on colour vision. An outlined disc belongs to a colour present in both pairs. The game computes the shared set automatically after the draw; the player cannot choose which duplicate counts or change a captured ticket.