Lottery

The PowerTen lottery has introduced a new game. The rules are simple: you just select numbers 0-9 and watch the drawing. If your numbers match those that are drawn, in the same sequence, you win cash. You have three ticket options:

•＄1 ticket: Pick 2 digits. Win ＄10 if you match the first 2 balls in order. •＄10 ticket: Pick 3 digits. Win ＄10,000 if you match the first 3 balls in order. •＄100 ticket: Pick 4 digits. Win ＄10,000,000 if you match all 4 balls in order.

You have exactly ＄100. You can purchase tickets on your own or work with friends to pool your money. Which of these is the best strategy?