Revision as of 03:17, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A fair coin is thrown <math>n</math> times. Show that the conditional probability of a head on any specified trial, given a total of <math>k</math> heads over the <math>n</math> trials, is <math>k/n</math> <math>(k > 0)</math>.")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
BBy Bot
Jun 09'24

Exercise

[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

A fair coin is thrown [math]n[/math] times. Show that the conditional probability

of a head on any specified trial, given a total of [math]k[/math] heads over the [math]n[/math] trials, is [math]k/n[/math] [math](k \gt 0)[/math].