MathDB
2022 B Individual #6

Source:

April 30, 2022
2022 B Individual

Problem Statement

A coin is flipped three times. What is the probability that there are no instances of two consecutive heads or two consecutive tails? <spanclass=latexbold>(A)</span>18<spanclass=latexbold>(B)</span>14<spanclass=latexbold>(C)</span>38<spanclass=latexbold>(D)</span>58<spanclass=latexbold>(E)</span>34<span class='latex-bold'>(A) </span>\frac{1}{8}\qquad<span class='latex-bold'>(B) </span>\frac{1}{4}\qquad<span class='latex-bold'>(C) </span>\frac{3}{8}\qquad<span class='latex-bold'>(D) </span>\frac{5}{8}\qquad<span class='latex-bold'>(E) </span>\frac{3}{4}