A company holds a year-end lottery. Each person randomly draws two cards from six cards numbered 1 to 6. Assume each card has an equal chance of being drawn, and the rules are as follows: (I) If the sum of the numbers on the two cards is odd, the person wins 100 yuan and the lottery ends; (II) If the sum is even, the two cards are discarded, and two cards are randomly drawn from the remaining four cards. If the sum of their numbers is odd, the person wins 50 yuan; otherwise, there is no prize and the lottery ends. According to the above rules, what is the expected value of the prize money for each person participating in this lottery? (1) 50 (2) 70 (3) 72 (4) 80 (5) 100
A company holds a year-end lottery. Each person randomly draws two cards from six cards numbered 1 to 6. Assume each card has an equal chance of being drawn, and the rules are as follows:\\
(I) If the sum of the numbers on the two cards is odd, the person wins 100 yuan and the lottery ends;\\
(II) If the sum is even, the two cards are discarded, and two cards are randomly drawn from the remaining four cards. If the sum of their numbers is odd, the person wins 50 yuan; otherwise, there is no prize and the lottery ends.\\
According to the above rules, what is the expected value of the prize money for each person participating in this lottery?\\
(1) 50\\
(2) 70\\
(3) 72\\
(4) 80\\
(5) 100