A Givens: outcomes are 0, 5, and 20 points; probabilities are 1/2, 1/3, and 1/6; Constraints: probabilities should sum to 1 and expected value is the sum of each outcome times its probability; Unknown: the most likely point value.
B Givens: outcomes are probabilities and probabilities are point values; Constraints: probabilities should sum to 1 and expected value is the sum of each outcome times its probability; Unknown: expected point value of one spin.
C Givens: outcomes are 0, 5, and 20 points; probabilities are 1/2, 1/3, and 1/6; Constraints: probabilities should sum to 1 and expected value is the sum of each outcome times its probability; Unknown: expected point value of one spin.
D Givens: expected value = 20 because 20 is the largest possible outcome; Constraints: probabilities should sum to 1 and expected value is the sum of each outcome times its probability; Unknown: expected point value of one spin.
E Givens: outcomes are 0, 5, and 20 points; probabilities are 1/2, 1/3, and 1/6; Constraints: average the three point values without using probabilities; Unknown: expected point value of one spin.
