To add to what you have noted, people often misunderstand the concept of opportunities in gambling due to a variety of factors, including cognitive biases, misperceptions about probability and randomness, and the influence of emotions. Many people mistakenly believe that they can predict or control the outcomes of gambling activities. This is known as the “illusion of control” bias, where individuals overestimate their ability to influence events that are determined by chance. This bias can lead people to perceive opportunities for winning where none exist or to chase losses based on the belief that they can turn their luck around.

Also, people often fail to grasp the concept of independent trials, where each gamble is an isolated event unrelated to previous or future events. As a result, they may see patterns or trends where there are none and make decisions based on these false perceptions. For instance, if a person wins a few rounds in a row at a slot machine, they might think that they have found a “hot” machine and continue playing, not realizing that each spin is an independent event with the same probabilities.