A game has an expected value to you of $500. It costs $500 to play, but if you win, you receive $100,000 (including your $500 bet) for a net gain of $99,500. What is the probability of winning? Would you play this game? Discuss the factors that would influence your decision. The probability of winning is (Type an integer or a decimal.)Agame has an expected value to you of $500. It costs $500 to play, but if you win, you receive 3100.000 [including your $500 bet} for a net gain of 899.500. What is the probability of winning? Would you play this game? Discuss the factors that would inuence your decision. 0 That's incorrect. IGiven the probability distribution for the random variable X where pi = p [xi] . define the expected value of X, denoted ELK}. by the formula E{X}=x1p1+x2p2 + + ann- Write an equation using the given expected value and solve for the probability of winning