You are within the remaining spherical of a sport present with 3,999 different conteseants.

Here is the sport: The host has blindfolded you at put a purple, inexperienced or blue hat and purple, inexperienced or blue earrings (not essentially matching) on every of you. Then he says in truth, “I see a blue hat and blue earrings.”

Now you’ll every stand in a line and every of you may see everybody else’s hats and earrings besides yours. Each of you need to then both say two colors, say one color or go.

A two-colour guess is right if one is your hat color and one is your earring color (in any order). A one-colour guess is right whether it is both your hat color or your earring color.

They all begin with a prize pool of £80,000,000.

If somebody guesses incorrect, the prize pool is split by ten, rounded down.

If somebody with a blue hat or blue earrings passes, £80 is subtracted from the prize pool.

If somebody with neither a blue hat nor blue earrings passes, £25 is subtracted from the prize pool.

If somebody guesses just one color, the prize pool is multiplied by 0.95, rounded down.

The sport ends when the prize pool is empty or everybody guessess appropriately, then the prize pool is distributed to the gamers.

What is the technique to maximise your anticipated winnings in the event that they go in the identical order every spherical, and every participant will get one flip with unknown order?