I'm trying to answer a question on optimum strategy from a provided payoff matrix and the answer that I'm arriving at isn't correct. I'm getting a final answer of 80%

E S = 0P + 6 (1-P) = -6P + 6

E B = 2P + 4 (1-P) = 2P + 4 - 4P = -2P + 4

E S = E B

-6P + 6 = -2P + 4

-8P = 6+4

-8P = 10

P = 80%

With the payoff matrix for my values under ES is P and the values under EB my equation is 1 - P

When I adjust my calculations for that my final answer gets me to 0

E_S = 0P + 6 (1-P) = -6P + 6

E_B = 2 (1-P) + 4 (1-P) = 2 - 2P + 4 - 4P = 6 - 6P

E_S = E_B

-6P + 6 = -6P + 6

-6P = -6P + 6 - 6

-6P + 6P = 6 - 6

P = 0

I'm not sure if the equation that I'm using is correct