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 chances of hitting the correct symbol on each real times the likelihood of hitting it on another 2 reels. The formula looks such as this in fact:
A short explanation: if there are 10 possible symbols on each reel, then a odds 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 insurance firms payouts that aren't equivalent to the actual odds of hitting the jackpot. In a case where you've a 1 in 1000 possibility of hitting a jackpot, in the event that you paid out 999 to 1 or 998 to 1, the difference in the payout versus the particular odds will be your resulting profit.
But progressive jackpots are often tremendous. Sometimes you can also find progressive jackpots of $1 million or more. In order to make this happen, slot machine manufacturers had to become programmers, because realistically, a physical slot machine was restricted to 3 or 4 reels with 20 roughly symbols on each reel. A technical slot machine's reels are actual strips of metal, and having more than 20 symbols on all of them made them too large to really operate the machine.But with a random number generator program, a casino can setup "virtual reels" having an unlimited number of symbols on each. They could also put up multiple reels. Considering that the odds of hitting the jackpot become much smaller, the amount of the jackpot may become much larger.
Here is 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 make a positive expectation bet on a position machine game, IF the jackpot were large enough. In the aforementioned example, if the jackpot were $810,001, you'd be making a positive expectation bet.
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