MathDB
2018 Individual #2

Source:

May 5, 2022
2018 Individual

Problem Statement

Edward is trying to spell the word "CAT". He has an equal chance of spelling the word in any order of letters (i.e. TAC or TCA). What is the probability that he spells "CAT" incorrectly?
<spanclass=latexbold>(A)</span>16<spanclass=latexbold>(B)</span>13<spanclass=latexbold>(C)</span>12<spanclass=latexbold>(D)</span>23<spanclass=latexbold>(E)</span>56<span class='latex-bold'>(A) </span>\dfrac16\qquad<span class='latex-bold'>(B) </span>\dfrac13\qquad<span class='latex-bold'>(C) </span>\dfrac12\qquad<span class='latex-bold'>(D) </span>\dfrac23\qquad<span class='latex-bold'>(E) </span>\dfrac56