Chances of the slots

Ever since the slot machine has made its way to the casino game floor, people are hooked on the game. The game is simple and the fun to play, making it the perfect casino game. Also it is one of the games that is unbiased and is a good candidate if you want to get requirements filled for your online casino bonus. It does not matter which casino you fancy they will most likely have slot machines, and it goes even faster than online poker.

To be able to calculate the chances you have in a slot machine game, you just need to know how to calculate your chances in a dice game. We name n the number of symbols on every reel. Then to know the total amount of combinations we just need to calculate n to the power of the number of reels. So in the case of three reels n³ = n×n×n and in the case of four reels n4 = n×n×n×n. So next some data which is easily calculated but gives you an insight in the probabilities of getting that one lucky combination.

For our first slot machine we are going to take 3 reels with five symbols each, so n = 5;

Specific Triple P = 1/125 = 0,8 %

Any Triple P = 5/125 = 4%

Specific Double P = 12/125 = 9,6%

Any Double P = 60/125 = 48%

Specific Double in combination with specific symbol P = 3/125 = 2,4%

Nothing P = 44/125 = 35,2%

The same number of reels only one extra symbol now, so n = 6;

Specific Triple P = 1/216 = 0,46296%

Any Triple P = 6/216 = 2,77777%

Specific Double P = 15/216 = 6,94444%

Any Double P = 90/216 = 41,6666%

Specific Double and specific symbol P = 3/216 = 1,38888%

Nothing P = 101/216 = 46,759%

Just for fun we are going to calculate with even more symbols, so n = 7;

Specific Triple P = 1/343 = 0,29154%

Any Triple P = 7/343 = 2,04081%

Specific Double P = 18/343 = 5,24781%

Any Double P = 126/343 = 36,734%

Specific Double with specific symbol P = 3/343 = 0,87463%

Nothing P = 188/343 = 54,81%

We can safely say the more symbols there are on a reel the less chance you have of winning. Because the combinations that make nothing grow in number, from 15 to 46 to 55 percent. That means in the last slot machine you have about fifty-fifty chance to win or lose, the same as a coin flip.

Now we move on to four reels, why you ask? We are dangerous that is why. So on to four reels with five symbols, so again (do i even need to say it) n = 5.

Four Specific Symbols (identical) P = 1/625 = 0,16%

Any Four Symbols (identical) P = 5/625 = 0,80%

Specific Triple P = 16/625 = 2,56%

Any Triple P = 80/625 = 12,80%

Specific Double P = 96/625 = 15,36%

Any Double P = 275/625 = 48%

Two Specific Doubles P = 6/625 = 0,96%

Any Two Doubles P = 60/625 = 9,60%

Nothing P = 88/625 = 13,76%

I think you have already guessed it so onwards to six symbols per reel.

Four Specific Symbols (identical) P = 1/1296 = 0,07%

Any Four Symbols (identical) P = 6/1296 = 0,463%

Specific Triple P = 20/1296 = 1,54%

Any Triple P = 120/1296 = 9,259%

Specific Double P = 150/1296 = 11,57%

Any Double P = 630/1296 = 48,61%

Two Specific Doubles P = 6/1296 = 0,463%

Any Two Doubles P = 90/1296 = 6,944%

Nothing P = 213/1296 = 21,06%

I have a surprise we are also going to look at n = 7.

Four Specific Symbols (identical) P = 1/2401 = 0,04%

Any Four Symbols (identical) P = 7/2401 = 0,291%

Specific Triple P = 24/2401 = 0,9996%

Any Triple P = 168/2401 = 6,997%

Specific Double P = 216/2401 = 8,996%

Any Double P = 1134/2401 = 47,23%

Two Specific Doubles P = 6/2401 = 0,250%

Any Two Doubles P = 126/2401 = 5,248%

Nothing P = 506/2401 = 21,07%