Your friend reads in the paper about Professor Diaconis's conclusion that the chance of someone winning two state lotteries in 4 months is about 1 in 30. He wants to run out and buy 30 tickets in your state's lottery and another 30 in the neighboring state's lottery. If there are 3 million tickets sold in each lottery, what are his chances of winning both? How do you explain the discrepancy between what you have told him and the conclusion reached by Professors Diaconis and Mosteller?