1. What is the probability of winning the Illinois Lottery Lotto with a $1 bet?
2. In the game week ending June 18, 1983, a total of 2 million people bought $1 tickets, and 78 people matched all six winning integers and split the jackpot. If all numbers were selected randomly, the likelihood of having so many joint winners would be about 10-115. Can you think of any reason that such an unlikely event would have occurred? (The winning numbers were 7, 13, 14, 21, 28, and 35.) What would be the best strategy in selecting the numbers to ensure that in the event that you won, you would probably not have to share the jackpot with too many people?