Game Tricks
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In this game, the expected value of all three options is the same, and it's negative: on average, you will lose 1/6 of the money you are going to bet.
In details when you are rolling two dice the expected probability of getting a sum of 2,3,4,...12 is 1/36,2/36,3/36, 4/36 etc., and it is increasing until it reaches the number 7 then starting to decrease. It is an interesting exercise and is easy to be implemented if you want to try it; all you have to do is count the number of ways a pair of numbers between 1 and 6 can add up to a number. It shows that the probability of getting a total of seven is 1/6, and the chance of getting below 7 or above 7 are each 5/12, respectively.
So if you choose to bet on the number 7 then on average you will have to multiply your stake by 5/6, and it is the same if you place your money on below or above "7" on average you also multiply by 5/6. So all three options are equal.
Conclusions from this computation:
Generally the RTP for such can of games is always below 100%, or the casions would never even consider offering it. The online or the ground casino will not make any money if the expected value of the game is positive. This example is about probability as much as it is about incentives.
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