This Question: 1 pt 14 of 18 A game has an expected value to you of $500. It costs $500 to play, but if you win, you receive $100,000 (including you 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.) Would you play this game? Discuss the factors that would influence your decision. Since the probability of winning the game is it worth it to play the game. pu 15 of 18 Test the pair of events A and D for independence based on the following table. B Total D 0.15 0.06 0.09 0.30 E 0.10 0.04 0.06 0.20 F 0.25 0.10 0.15 0.50 Total 0.50 0.20 0.30 1.00 Are A and D independent or dependent and why? Select the correct answer below and fill in the answer bo O A. A and D are dependent because P(AND) does not equal P(A)P(D). P(AND) = and P(A)P(D)= O B. A and D are independent because P(AND) equals P(A)P(D). P(AND) = and P(A)P(D)= C. A and D are independent because P(AND) does not equal P(A)P(D). P(AND) - and P[A]P(D)= | OD. A and D are dependent because P(AND) equals P(A)P(D). P(AND) = and P(A)P(D) =