Agame has an expected value to you of $100. it costs $500 to play, but if you win you receive $100,000 (including your $500 bet), for a net gain of $99 comma 500. what is the probability of winning?

Let be a random variable denoting the amount of winnings in any given round of the game. There is some probability of winning where , while , assuming these are the only two possible outcomes. So we have

step-by-step explanation:

compare

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2