# math

posted by
**ciera**
.

on a game board, landing on blue means to move ahead 1 space , landing on red means to move ahead 2 spaces, and landing on orange means to move back 1 space. if you took 30 spins about where would you expect to be on the game board, relative to where you started?

i would be about ----- spaces-------.

(ahead or

behind)

You have a 1/3 probability of landing on each color. So, you probably will land on blue 10 times, red 10 times, and orange 10 times. With all those blues, you will have gone forward 10 spaces. With all those oranges, you would have gone back 10 spaces. You are still at your starting point. But, with 10 reds, you would move up 20 spaces. So, theoretically, you would be about 20 spaces ahead.