Question

A player rolls a fair die and receives a number of dollars equal to the number of dots appearing on the face of the die. What is the least the player should expect to pay in order to play the game?

Answer 1

I suppose you'd want them to pay the expected value at the very least.

Answer 2

can you calculate it?

Answer 3

yes

Answer 4

what did you get?

Answer 5

5

Answer 6

that isn't what I get.

Answer 7

Each side has probability \(1/6\).

Answer 8

So the result is \[
\sum_{n=1}^{6}n\times \frac 16
\]