He may choose the same number both times. If his ticket matches the two numbers in one letter drawn in order, he wins the grand prize and receives $10,405. If just his letter matches, but one or both of his numbers do not match, he wins the small prize of $100. Under any other outcome, he loses and receives nothing. The game costs him $5 to play. So under any other outcome, he loses and receives nothing. He has chosen the ticket 0 for R. So we're assuming he's paying the $5 to play and he picks the ticket 0 for R. So let's say we define a random variable X.