Probability of past instance

Question

In a hypothetical scenario,

if Lebron James made 10 successful shots in the same spot consecutively, what is the probability that his 11 shot is successful? Is it the same probability as the 1st? or did any of his prior shots affect his 11th throw?

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What about in the instance of coin toss, similar scenario,

if i throw head for 10 times, what is the probability that i will get another head in the 11th time?

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Thanks

In: Mathematics

Answer 1

lebron making free throws and flipping a coin are INDEPENDENT events. ie the previous result does not affect the current attempt. so whatever the odds are, remains the odds.

now if you want to ask, what’s the probability that you get 11 heads in a row? then you take the probability of one heads and multiple by probability 11 times.