Dicey Question

Logic Level 2

Which is more likely to result in a higher number:

The sum of rolling $n$ dice,

or rolling 1 die and multiplying it by $n$ ?

Multiplying 1 dice by n Sum of rolling n dice Both are equal

1 solution

Jordan Cahn
Sep 26, 2018

Each die roll is independent and has an expected value of $3.5$ . The expected value in both scenarios is thus $3.5n$ .