At what point does a "fair gamble" turn into a "good bet".
With mathematics you can calculate the probability of winning based upon the rules of the game and the number of trials. With a few trials it probability of reaching the EV is low (i.e. with one hand of craps and $100 on the line you will not walk away with $98.60) and luck plays an important part. But as you increase the number of trials, the probability mathematically approaches the target EV and luck no longer plays an important role.
How many coin flips does it take before the probability of getting no more than five heads go from being a "fair gamble" to a "good bet"? 8? 10? 12? 15? 25? 100? 1000? 10,000? I could calculate the probability based upon the number of trials, but that would be too much like work.
With mathematics you can calculate the probability of winning based upon the rules of the game and the number of trials. With a few trials it probability of reaching the EV is low (i.e. with one hand of craps and $100 on the line you will not walk away with $98.60) and luck plays an important part. But as you increase the number of trials, the probability mathematically approaches the target EV and luck no longer plays an important role.
How many coin flips does it take before the probability of getting no more than five heads go from being a "fair gamble" to a "good bet"? 8? 10? 12? 15? 25? 100? 1000? 10,000? I could calculate the probability based upon the number of trials, but that would be too much like work.