Mises on buying more then one lottery ticket

Mises in Human action: "Cool reasoning must show the gambler that he does not improve his chances by buying two tickets instead of one of a lottery in which the total amount of the winnings is smaller than the proceeds from the sale of all tickets. If he were to buy all the tickets, he would certainly lose a part of his outlay. Yet every lottery customer is firmly convinced that it is better to buy more tickets than less. The habitués of the casinos and slot machines never stop. They do not give a thought to the fact that, because the ruling odds favor the banker over the player, the outcome will the more certainly result in a loss for them the longer they continue to play. The lure of gambling consists precisely in its unpredictability and its adventurous vicissitudes. " ####### I find it hard to grasp why buying more then one ticket does not improve your chances of winning. I do understand his reasoning about buying all the tickets and surely loosing, yet it still doesn't seem correct about buying 2 tickets instead of 1 for example. Is this statement by Mises correct? and is there a way to statistically validate it? because I can't think on one.