The casino games with the best odds to win are blackjack, video poker, and craps. All three games offer bets with a very low house edge, which is important not only if you want to stretch your gambling dollar and maximize your chance of walking away a winner , but also because a low house edge means it doesn't take much to make the games beatable.
Blackjack games usually start with a house edge of around 0.5%, although the number of decks in play and the rules the casino chooses can greatly impact this number. There are dozens of different rule variations for blackjack, such as whether the dealer hits or stands on soft seventeen and whether the player is allowed to double after they split or not. Make sure to avoid 6:5 blackjack games (the traditional payout for blackjack is 3:2) because this greatly increases the house edge. In order to achieve the 0.5% house edge, it is important to memorize basic strategy, which basically tells you what to do with any hand vs any dealer upcard. Because blackjack has such a low house edge, it is an easy game to win at, all you need to do is learn how to count cards and then bet more when the odds are in your favour.
Another game with a low house edge is craps (just don't bet on the hard ways). The optimal strategy for craps is to bet on the pass line (or don't pass line) and take full odds. While the house edge on the initial bet is 1%, there is no house edge on your odds bet, where casinos will usually let you bet 3-5x as much, so the overall edge on your action is only around 0.2%. Some casinos allow you to bet even more on the odds bet, which makes the action even more favourable. When choosing between pass and don't pass it's a question of whether you want to lay or receive odds. With a pass line bet, and subsequent placing off odds, you will be getting more than 1:1 on your money, but this is of course balanced by the fact that you will seven out more frequently than you hit your number. Conversely, if you bet on the don't pass you will be winning more frequently but winning less than you bet when you win. Either is fine, but if you go on a hot streak betting the don'ts remember not to celebrate too loudly lest you incur the wrath of your table mates.
Finally, video poker is another game that frequently offers a house edge of less than a percent. Like blackjack, knowing the proper strategy of what hands to keep and what hands to throw away is vital to obtaining this low house edge. When you factor the low house edge along with comps and freeplay offers the game becomes quite beatable and there are many video poker professionals or semi professionals making a living right now.