Question

How is calculating a confidence interval similar to or different than gambling?

Answer 1

A confidence interval is an indicator of your measurement's precision. It is also an indicator of how stable your estimate is, which is the measure of how close your measurement will be to the original estimate if you repeat your experiment. Statistical inference is one of the sure way of interpreting the confidence interval.

On the other hand, gambling mathematics refers to the use of probability in games of chance and is similar to calculation of confidence level, as it works with a space of events to determine the probability. From personal objective, the two concepts are similar since they are both based on experiment.