In the name of God, Most Gracious, Most Merciful
Peace be upon you,
Over half of Americans buy a lottery ticket or gamble at some time during the year. Common sense tells most people they are unlikely to win. Yet, notwithstanding reason, people wish to become extremely fortunate and "get rich quick" with their current gamble.
God prohibits gambling (2:219, 5:90-91) and tells us there is no shortcut to success. Human beings have to work hard to redeem themselves (90:4).
Further, riches here are fleeting (76:27). The truly fortunate ones in God's system are those who attain paradise (11:108).
[Quran 90:4] We created the human being to work hard (to redeem himself).*
[Quran 11:108] As for the fortunate ones, they will be in Paradise. Eternally they abide therein, for as long as the heavens and the earth endure, in accordance with the will of your Lord--an everlasting reward.
God willing, a righteous nation will enjoin people from unproductive economic decisions such as the lottery and gambling. And help them focus on the growth of their souls.
A good article on the subject of what the Quran says about national policy is: What Price Great nation
Peace.