On the other hand, national lotteries are known to be "taxes on ignorance of mathematics", but if these revenues financed public expenses that revert to the common good: would you agree to pay systematically 1 USD more in your annual taxes as something that ensures the right to dream of a dear life of every taxpayer?
It would be nice if all the taxes we pay became a coupon to compete for monthly lottery prizes, wouldn't it?
I believe that many people would stop complaining about the taxes they pay and the government would also collect more as the population itself would demand the issuance of a tax document for the products purchased and services received.
And to answer your question: Yes... I'm happy to buy a lottery ticket and know that part of the money is used for social actions, even though I bet little on lotteries.
About the odds, if the prize is big, then few people care about the chances of winning... it seems that most people just look at the prize and faithfully believe that the possibility of matching 6 numbers is "easy", it is That's why lotteries still exist despite few winning.