MathDB

2014 Guts #2: expected multiples of 6

Source:

February 25, 2014

probabilityexpected value

Problem Statement

[4] Let

x_1,x_2,\ldots,x_{100}

be defined so that for each

i

x_i

is a (uniformly) random integer between

1

and

6

inclusive. Find the expected number of integers in the set

\{x_1,x_1+x_2,\ldots,x_1+x_2+\cdots+x_{100}\}

that are multiples of

6