An Easy Proof of a Weak Version of Chernoff inequality | Synapse
October 20, 2025Open Access
An Easy Proof of a Weak Version of Chernoff inequality
Puntos clave
The proof establishes a weak version of the Chernoff inequality regarding coin tosses.
Probability calculations indicate that the chance of observing at most M heads is ≤ 1/2^M.
The analysis involves evaluating the outcomes of throwing a fair coin 6M times.
The implications reinforce basic probability theory with a focus on outcomes from fair coins.
Resumen
We prove an easy but very weak version of Chernoff inequality. Namely, that the probability that in 6M throws of a fair coin, one gets at most M heads is 1/2M.