Are Past Events Truly Independent in Probability?

Understand the probability of independent events and the influence of past instances on future probabilities.

Are Past Events Truly Independent in Probability?
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Have you ever been curious about the probability of an event based on past instances?

Whether it's Lebron James making consecutive shots or the outcome of a series of coin tosses, the notion of probability in these situations can be quite intriguing.

Lebron's Consecutive Shots

If Lebron James made 10 successful shots in the same spot consecutively, what is the probability that his 11th shot is successful?

Will it be the same as the 1st shot?

Certainly, each shot is independent.

However, deliberating on the psychological and physical confidence gained from the past successes could lead to a different perspective on probability.

Coin Toss Scenario

In a similar scenario, if