From Wiki:
Payout and odds
Payouts (on the base $1 play) are according to the following:
Matches Prize Current probability of winning[10]
Zero numbers, plus Powerball $ 3 1 in 61.74
1 number, plus Powerball $ 4 1 in 123.48
2 numbers, plus Powerball $ 7 1 in 787.17
3 numbers, no Powerball $ 7 1 in 359.06
3 numbers, plus Powerball $ 100 1 in 13,644.24
4 numbers, no Powerball $ 100 1 in 19,030.12
4 numbers, plus Powerball $ 10,000 1 in 723,144.64
All 5 numbers, no Powerball $ 200,000 1 in 5,138,133.00
All 5 numbers, plus Powerball Jackpot 1 in 195,249,054.00
Overall probability of winning a prize is 1 in 35.11. All non-jackpot prizes are fixed amounts, although they may be reduced and paid on a parimutuel basis if the number of winners at each prize level exceeds the funds in the prize pool for that drawing.[11]
Some may notice that the odds of matching only the Powerball (1-39) are 1:62, instead of 1:39. This is because there is a chance of matching at least one white ball in addition to the Powerball. Additionally, some may calculate the jackpot odds at 1:17 billion versus the actual 1:~195 million. This is due to the lottery being concerned with combinations rather than permutations.[12]
To put these odds in perspective, in the US in 2008 there were 1.03 deaths per 100 million vehicle miles traveled.
A person living one mile from a retailer selling Powerball tickets is four times as likely to die in an accident traveling to and from that store (two miles round trip) than winning the Powerball jackpot on a $1 play. (Jackpot odds = 1 in 195 million; chance of death from vehicle accident= 2 miles * 1.03 deaths / 100 million miles); 1 jackpot = 2 * 1.03 * 195 million / 100 million = 4.02 deaths.
@ Kenan
If that is the case, then the analogy is faulty. In the case of the Grand prize, the event of winning the prize is almost always guaranteed (according to you). So the analogy, in this case, means that life is almost a guaranteed event, it just so happens that planet Earth was the winner.
The problem with the reasoning above is that you assume that there is only one prize - which is true in case of lottery but untrue when it comes to life on other planets.
The fact that life exist on earth does not diminish the chance of finding life somewhere else. These two events are almost completely independent.