Expected value uses probability to tell us what outcomes to expect in the long run.

Problem 1: Board game spinner

A board game uses the spinner shown below to determine how many spaces a player will move forward on each turn. The probability is 12\dfrac12 that the player moves forward 11 space, and moving forward 22 or 33 spaces each have 14\dfrac14 probability.

Problem 2: Basketball decisions

Kayla is a basketball player who makes 50%50\% of her 22-point shots and 20%20\% of her 33-point shots.