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maths · 29 seconds

A coin has no memory

Separate a streak from the next fair toss.

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After ten heads, what is the next-toss probability of tails?

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Illustrations generated with OpenArt. Narration uses free local Kokoro neural voices. Illustrations are visual aids; the written lesson carries the explanation.

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A tempting story

A fair coin lands heads four times. Is tails now due?

H H H H

One fresh toss

For independent tosses of a fair coin, the next toss still has two equally likely outcomes.

P(tails) = 1/2

A whole sequence

Five specified heads in a row has probability one half multiplied five times: one in 32.

(1/2)⁵ = 1/32

Ask the right question

The probability of the next outcome differs from the probability of an entire sequence chosen in advance.

Next toss ≠ whole streak

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