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However, during the initial bets, the gambler may have the feeling that luck is playing a part as he might experience wins and losses (but the losses will definitely be more than the wins). This might influence him / her to continue with betting hoping to become ahead. However, what happens is that because the probability of losing is more than that of winning, the gambler wins few bets as against the increasing number of lost bets, thus further diminishing any chance of getting ahead. This is clearly evident from the overall dipping nature of the graph.
Solution for problem 2.5:
No of trials attempted over 5000 bets = 50
No of trials in which the gambler was ahead after playing 5000 bets = 0
Therefore,
We have, probability = No of trials in which the gambler was ahead after playing 5000 bets / No of trials attempted over 5000 bets
Probability = 0/50 = 0
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