MathDB

Sigfried is singing the ABC’s

100

times straight, for some reason. It takes him

20

seconds to sing the ABC’s once, and he takes a

5

second break in between songs. Normally, he sings the ABC’s without messing up, but he gets fatigued when singing correctly repeatedly. For any song, if he sung the previous three songs without messing up, he has a

\frac12

chance of messing up and taking

30

seconds for the song instead. What is the expected number of minutes it takes for Sigfried to sing the ABC’s

100

times? Round your answer to the nearest minute.

Problem Statement