MathDB
2020 Individual #9

Source:

May 1, 2022
2020 Individual

Problem Statement

Lily has an unfair coin that has 23\tfrac23 probability of showing heads and 13\tfrac13 probability of showing tails. She flips the coin twice. What is the probability that the first flip is heads while the second is tails?
<spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>1/9<spanclass=latexbold>(C)</span>2/9<spanclass=latexbold>(D)</span>4/9<spanclass=latexbold>(E)</span>1<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>1/9\qquad<span class='latex-bold'>(C) </span>2/9\qquad<span class='latex-bold'>(D) </span>4/9\qquad<span class='latex-bold'>(E) </span>1