Reader's Digest recently ran a sweepstakes in which prizes were listed along with the chances of winning: $5,000,000 (1 chance in 201,000,000), $150,000 (1 chance in 201,000,000), $100,000 (1 chance in 201,000,000), $25,000 (1 chance in 100,500,000), $10,000 (1 chance in 50,250,000), $5000 (1 chance in 25,125,000), $200 (1 chance in 8,040,000), $125 (1 chance in 1,005,000), and a watch valued at $89 (1 chance in 3774).
a. Find the expected value of the amount won for one entry.
b. Find the expected value if the cost of entering this sweepstakes is the cost of a postage stamp.