To play a certain lottery, you pick five numbers from 1 through 69 and select a powerball number from 1 through 26. If the official drawing results show your five numbers (in any order) and your powerball number, you win the jackpot, worth $40, 000, 000. It costs $2 to purchase one lottery ticket.

1. Find the probability of winning the jackpot from one ticket purchase.
2. Find the expected value of your winnings from playing this lottery.