Calculating odds and probabilities for classic slot machine games with 3 reels with 10 symbols on each reel is simplicity itself. You simply multiply the likelihood of hitting the right symbol on each real times the chances of hitting it on the other 2 reels. The formula looks similar to this actually:
A brief explanation: if you can find 10 possible symbols on each reel, then a chances of hitting 1 of those 10 is 1/10. The odds of hitting that same symbol on all 3 reels is the product of the chance of hitting it on each reel.A casino makes its money with payouts that aren't comparable to the real odds of hitting the jackpot. In a case where you've a 1 in 1000 potential for hitting a jackpot, if you paid out 999 to 1 or 998 to 1, the difference in the payout versus the specific odds would be your resulting profit.
But progressive jackpots are sometimes tremendous. Sometimes you can also find progressive jackpots of $1 million or more. To be able to attempt, slot machine manufacturers had to become programmers, because realistically, a physical slot machine was limited by 3 or 4 reels with 20 roughly symbols on each reel. A technical slot machine's reels are actual strips of metal, and having a lot more than 20 symbols on each of them made them too big to really operate the machine.But with a random number generator program, a casino can setup "virtual reels" by having an unlimited number of symbols on each. They can also create multiple reels. Considering that the odds of hitting the jackpot become much smaller, the total amount of the jackpot can be much larger.
Some tips about what the odds of hitting the jackpot are on a 3 reel machine with 30 symbols, and for a 5 reel machine with 30 symbols:If the odds of hitting the jackpot are 1 in 810,000, you may easily have a payout of $500,000 or even $600,000 and still maintain a well profitable slot game.Since progressive jackpots grow constantly until someone hits the jackpot, you could theoretically create a positive expectation bet on a slot machine game, IF the jackpot were large enough. In the above mentioned example, if the jackpot were $810,001, you'd be creating a positive expectation bet.
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