MathDB
2019 Individual #4

Source:

May 1, 2022
2019 Individual

Problem Statement

Allen flips a fair two sided coin and rolls a fair 66 sided die with faces numbered 11 through 66. What is the probability that the coin lands on heads and he rolls a number that is a multiple of 55?
<spanclass=latexbold>(A)</span>124<spanclass=latexbold>(B)</span>112<spanclass=latexbold>(C)</span>16<spanclass=latexbold>(D)</span>14<spanclass=latexbold>(E)</span>13<span class='latex-bold'>(A) </span>\dfrac1{24}\qquad<span class='latex-bold'>(B) </span>\dfrac1{12}\qquad<span class='latex-bold'>(C) </span>\dfrac16\qquad<span class='latex-bold'>(D) </span>\dfrac14\qquad<span class='latex-bold'>(E) </span>\dfrac13