What type of study is this?

This is a Quantitative Study study.

October 20, 2025Open Access

An Easy Proof of a Weak Version of Chernoff inequality

Key Points

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.

Abstract

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Sariel Har-Peled (Thu,) studied this question.

synapsesocial.com/papers/68f5fcdc8d54a28a75cf2341 https://doi.org/https://doi.org/10.48550/arxiv.2507.02759

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1The pivotal set of a Boolean function2024
2Leveraging parameterized Chernoff bounds for simplified algorithm analyses2024
3An elementary proof of the inequality $\chi\leq\chi^{*}$ for conditional free entropy2024 · 2 citations
4Universal Shuffle Asymptotics, Part III: The General Lévy–Khintchine Limit for Shuffle Privacy2026
5Worst-case Chernoff bounds for sums of random variables with known means and unequal ranges2026

Bookmark

View Full Paper