Question

Given table below for 2 unfair dice and its probabilities of the number of the die to come out --simulating 200 times. Calculate its -EXPECTED VALUE --

give formula --please explain.

Roll	Die 1	Die2
1	0.1	0.3
2	0.1	0.1
3	0.2	0.2
4	0.3	0.1
5	0.2	0.05
6	0.1	0.25

Answer 1

Expected value

Give table has the Probability of occurance of the following numbers say (X) with probability p

Die 1

Roll (X)	Die 1 (p)	X*p
1	0.1	0.1
2	0.1	0.2
3	0.2	0.6
4	0.3	1.2
5	0.2	1
6	0.1	0.6
Total	1	3.7

Expected value = sum(X*p) = 3.7

Die 2

Roll (X)	Die 2 (p)	X*p
1	0.3	0.3
2	0.1	0.2
3	0.2	0.6
4	0.1	0.4
5	0.05	0.25
6	0.25	1.5
Total	1	3.25

Expected value = sum(X*p) = 3.25