On 22 Jun 2021, Canada’s Interprovincial Lottery Corporation awarded its largest ever Lotto Max prize pool in the amount of $140 million ($70 million for the grand prize and 70 $1 million MaxMillion prizes). It thus seems timely to have a look at the math behind lotteries. The website states that the odds of winning the Lotto Max are 1 in 33,294,800. This is correct to a point, but misleading. Let’s have a look at the rules of the Lotto Max: Players choose 7 numbers out of 50 Numbers cannot be repeated Numbers are automatically sorted into ascending order Each play buys 3 lines Each play costs $5 Seeing that players choose 7 out of 50 numbers that are non-repeating, the equation for the total number of possible combinations (this is different from permutations where the order in which the numbers appear is significant) when playing the Lotto Max is: 50! / (7! x 43!) The ! sign is a
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eXcelpunks is pleased to present the Legacy Baccarat Gaming System. A stand-alone system built for Windows, the system features an
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There is something to be said about card counting in Baccarat. The immense number of permutations often makes it difficult to card count in this game without some form of assistance. The fact that different card values have different effects on probability in this game and that these effects are not always consistent, is another puzzling aspect. The following table shows the expectations of several side wagers using various permutations of card values with between 5 to 25 cards being drawn for each. This is done to show that the advantage can be obtained from card counting and that one does not need to go very far into the shoe for it. Note that a positive expectation here indicates that the player would have the advantage in the following coup on that wager. Now, some of these situations seem very specific and they are. This data is not meant to show that card counting is viable, but that it is
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