This is shown by the following calculation: Adding all these winning amounts together and dividing this by the total number of combinations will give the payoff percentage (Shore, 2014). To calculate the payoff percentage of this particular three slot machine we must multiply the each winning combination with the corresponding about of coins it gives. This can be defined as the amount of money a slot machine should return to player over a period of time (Casinomanuel, 2015).

Using this information it is possible to calculate the payoff percentage. This shows that in this three slot machine there are 96 possible combinations which are winning ones. To find out the total number of winning combinations we must add 1 + 5 + 15 + 75 = 96 Therefore the winning combination for this configuration is calculated by (1 x 5 x 5) + (5 x 1 x 5) + (5 x 5 x 1) = 75 This means that the two other slots will have fruit.

One seven is also a winning combination.

Therefore the winning combination for this configuration is calculated by (1 x 1 x 5) + (1 x 5 x 1) + (5 x 1 x 1) = 15 This means that one slot will have fruit.

Two sevens is also a winning combination.

This means that there are five different winning combinations.

Any three of the same fruit are winning combinations and as there are five different fruit.

Three sevens is a winning combination and there is only one possible figuration for this.

To calculate the number of winning combinations, Shore (2014) states that we must consider the following: While there are 216 different combinations, not all of them are winning combinations. The payouts of this particular three slot machine is as follows:Īny three of the same fruit pays 10 coins. As there are three slots with six symbols in each, there must be a total of 216 combinations. The symbols I have chosen (see below) are banana, orange, cherry, mellon, grapes and seven.īefore we look at the chances of specific combinations using these symbols, it is important to find the total number of different combinations. While there are various different slot machines, I have decided to focus on the three slot machine with six different symbols in each piece. This was something that I found particularly interesting and therefore, decided to find out more about the applications of mathematics in gambling by analysing slot machines. Gambling is a widespread, popular and recreational activity (Fabiansson, 2010, p.1). One example that came up during the input was the link of probability to gambling. Applications of probability can be seen in many different areas, not just in mathematics.

In one of our lectures we looked at the fundamental concept of chance and probability.

How to win in slot machine