You have the same chance of hitting right combination if you enter 12345 or a random number chosen by a wall of lava lamps. But you have lower expected return s

You have the same chance of hitting right combination if you enter 12345 or a random number chosen by a wall of lava lamps. But you have lower expected return since more people will use 12345 than your particular random number. Expected return being size of the pot you can win multiplied by probability of winning. It's the first number that is lower when everybody has the same bright idea at once.