In today's little math exercise, we'll show you how to count probability in slot machines. Morever, you can fing here a slot machine calculator. Find out the return and payout with our slots calculator. Enter your bet size, return to player, slot volatility and pace of play into the calculator to get an estimate of how much you could win or lose.
Find out the return and payout with our slots calculator. Enter your bet size, return to player, slot volatility and pace of play into the calculator to get an estimate of how much you could win or lose.
The Slot Machine Calculator is a unique web-based application that allows you to calculate your estimated profit or loss on online slots. Our calculator even works by calculating your estimated results for other casino games such as roulette, blackjack or video poker. All you need to know is the so-called return value for the player.
❓ How to find out the payback for slots
While for games like roulette or blackjack, the RTP is very easy to find out. You simply Google house edge and subtract the house edge from 100. For online slots, the RTP varies for each game. The good news is that for most games this number is very easy to track. Just click directly on the slot information in the game and do a little searching. If you can't find it, you can also try googling RTP under a keyword such as "Starburst RTP"
And what does the calculator tell you? Once you enter all the parameters, the online slot calculator will give you an estimate of your average win or loss and other information. We would like to remind you that since slots are a game of chance and the results are determined by a random number generator, the outcomes of real games and gaming sessions may differ from the calculator's result.
For the slots calculator to interpret the game returns as accurately as possible, you must fill in the appropriate fields. All you have to do is click on the Calculate button.
Slots Calculator input explanation
Once you've selected all these parameters, just click the button. We will then show you a table with the following calculations. All the math in the free online slots calculator is based on averages and long periods.
Explanation of the results table
You can use the calculator for free and several times in a row. Just re-enter or change the calculator parameters and have it recalculate.
First of all, we must start with the number of possible combinations. In the case of slots, it is relatively simple - just multiply the numbers of symbols on each reel. The oldest slots had, for example, 3 reels with ten different symbols on each. The total number of combinations that could appear on the panel was 1,000 (10 x 10 x 10).
The number of combinations in today's slots is somewhat higher. If we assume five reels with 30 symbols on each, we get a total of 243,000,000 combinations.
If you want to calculate your chances to win on an online slot machine, all you need is this simple equation:
Number of winning combinations / Total number of combinations
To calculate the payout of the slot machine, modify the formula a little:
Σ (winning combination_k * possible yield_k) / (Total number of combinations)
Let's analyze a few basic slot machines. For the purposes of our article and in order to simplify the calculation, we will assume that the slot machine has only one payout line and the bet is one coin per round.
Let's go back to the past and assume that the machine only has 3 reels and there is an apple, an orange, a lemon, a banana, a melon and a joker symbol on each. The individual combinations produce these winnings:
The total number of combinations is 216 (6 x 6 x 6).
Total number of winning combinations:
Our simplified model thus contains 1 + 5 + 15 + 75 = 96 winning combinations. The table below shows the probability of a payout.
Winning combination | Number of combinations | Winning | Returns for 1 coin | Chance to win |
3 jokers | 1 | 30 | 30 | 13.953% |
Any fruit | 5 | 10 | 50 | 23.256% |
2 jokers | 15 | 4 | 60 | 27.907% |
1 joker | 75 | 1 | 75 | 34.884% |
Total | 96 | 215 | ||
% for the winning combination | 44.444% | Payouts | 99.537% |
Σ (winning combination_k * possible yield_k) / (Total number of combinations)
(1 × 30 + 5 × 50 + 15 × 4 + 75 × 1)/(6 × 6 × 6) = 215/216 ≈ 0.99537
In this case, the slot machine has a payout ratio of 99.53%, which is very nice, but in a real casino, you will not find the same results. The average returns of slots online casinos will be between 94% and 98%.
The table also clearly shows how single coin wins affect payouts. If the win of each combination were equal to one coin, the winning ratio would drop to 44.4%. And that's a very small number.
Because the previous example was too distant from reality, let's show you another example with higher numbers. To simplify, let’s assume again that there is only one payline, the slot machine has 3 reels and a total of 6 symbols that can appear on the panel:
Symbol | Reel 1 | Reel 2 | Reel 3 |
BAR | 1 | 1 | 1 |
SEVEN | 3 | 1 | 1 |
Cherry | 4 | 3 | 3 |
Orange | 5 | 6 | 6 |
Banana | 5 | 6 | 6 |
Lemon | 5 | 6 | 6 |
Total | 23 | 23 | 23 |
The total number of combinations is 23 x 23 x 23 = 12,167.
Winning combinations with single coin returns:
Calculation for no. 5:
Cherry, Cherry, Other: 4 x 3 x (23 – 3) = 240
Cherry, Other, Cherry: 4 x (23 – 3) x 3 = 240
Other, Cherry, Cherry: (23 – 4) x 3 x 3 = 171
Calculation for no. 6:
First reel: 4 x 20 x 20 = 1,600
Second reel 19 x 3 x 20 = 1,120
Third reel 19 x 20 x 3 = 1,120
The following table shows the amount of payout and the chance of winning for the individual combinations.
Winning combination | Number of combinations | Winning | Returns for 1 coin | Chance to win |
3x BAR | 1 | 60 | 60 | 0.495% |
3x SEVEN | 3 | 40 | 120 | 0.989% |
3x Cherry | 36 | 20 | 720 | 5.934% |
3x Other fruit | 540 | 10 | 5,400 | 44.507% |
2x Cherry | 651 | 3 | 1,935 | 16.097% |
1x Cherry | 3,880 | 1 | 3,880 | 31.979% |
Total | 5,111 | 12,133 | ||
% of winning combinations | 42.007% | Payout | 99.721% |
As you can see, the payout ratio is very high again at 99.721% (12,133 / 12,161). If the slot were to pay a straight win for each winning combination in the amount of 1 coin, the payout ratio would be down to 42,007%.
You have to be logged in to add a comment