expected value using random number generator

Question

a carnival game has the possibility of scoring 50 points, 75, or 150 points per turn. The probability of scoring 50 is 60%, 75 is 30%, and 150 is 10%. The game operator designed a simulation using a random number generator to predict how many points would be earned for a turn.

Integer points frequency

0-5 50 55

6-8 75 32

9 150 13

what is the games expected value of points earned for a turn

Answer 1

The expected value of a setting is the sum of the probability of a single event times the value of the single event. Let X = the points and P(X) = the probability you will get the points. so the expected value, E(X) = sum (X times P(X))