Revision as of 03:12, 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> Two cards are drawn successively from a deck of 52 cards. Find the probability that the second card is higher in rank than the first card. '' Hint'': Show that <math>1 = P(\mbox{higher}) + P(\mbox{lower}) + P(\mbox{same})</math> and use the fact...")
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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]

Two cards are drawn successively from a deck of 52

cards. Find the probability that the second card is higher in rank than the first card. Hint: Show that [math]1 = P(\mbox{higher}) + P(\mbox{lower}) + P(\mbox{same})[/math] and use the fact that [math]P(\mbox{higher}) = P(\mbox{lower})[/math].