What does the “Martingale Strategy?
Strategy “martingale” was opened by French mathematician Paul Pierre Levy. Originally, martingale was just kind of style gambling bets, which was based on “doubling down”. It is tempting to what a lot of works devoted to the martingale strategy, were written by American mathematician Joseph Leo Doob, who tried to refute the likelihood of 100% profitable betting system.
The essence of the system, of course, requires one initial bet, but every time a bet is lost or closed with a loss, the stakes are doubled so that a winning deal blocked all the previous losing trades. The introduction of new numbers 0 and 00 on the roulette wheel was made precisely in order to completely break down the mechanics of martingale, in the process of the game, roulette has been more than 2 options, but even-odd or red / black. This eventually led to the fact that the expectation of profit by using Martingale roulette turned negative and, in a manner prevented the full meaning of its use.
To finally understand the basics of Martingale, let’s look at an ordinary example. Imagine we toss a coin and bet on falling only eagles or tails with an initial rate of $ 1. There is a 50% chance that the coin will fall or an eagle or tails and each shot is independent, ie each previous shot or does not affect the outcome of the next. As long as you stick to one path, you can still end up, but given an infinite amount of available money you have, wait for the necessary loss of the coin, and thus win back all their losses received + $ 1. This strategy is based on the premise that we need only 1 deal, so our loss again turned into profit.
Option number 1 (Eagle or Tails, the odds - 50/50):

Imagine that you only have $ 10 to bet, starting from 1 st to $ 1. You bet on what will appear eagle coin falls exactly eagle and you win $ 1, while increasing its assets to $ 11. Each time, as soon as you win, continue to put exactly the same $ 1 until you lose it. The next shot and you lose your asset was $ 10. Now, on the next roll you already put $ 2 in the hope that if the coin comes up a nickel with an eagle, you will be able to recover past losses and bring the net profit and loss back to zero. For if not sorry, but the coin falls tails again and you lose these $ 2, reducing its expense to $ 8. Thus, under this system, Martingale, the next Your bid must be equal to twice the previous rate - $ 4. And then you have won and received $ 4, bringing its total assets to $ 12. Now you see what you need to return all its previous losses - only a single win.
But, let’s look at what proizhoydet, if suddenly will fall into the losing streak, as a possible
