Question

answer in the simpilest way

A wheel at a carnival game has 30
sectors of equal size, with
15 red sectors ​and
15 black sectors.
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​At the end of a spin of the wheel, the pointer is equally ​likely to land on a red sector or a black sector.
​
​A boy observes four ​consecutive red spins and guesses the next spin will be red.
​
​When asked ​why, he says the wheel is on a “hot streak of red.”
​
​Is his reasoning ​accurate? Why or why not?

Answer 1

No — his reasoning is not accurate. Each spin is independent, so the chance of red on the next spin is still 1/2. Thinking a run of reds makes red more likely is the "hot‑hand" (or gambler's) fallacy.