Answer:
6
Step-by-step explanation:
Let X be the number on first die and Y on second die
We have to calculate E(x+y)
=E(X)+E(Y)
X is a random variable taking values as
X 3 4 6
p 1/3 1/3 1/3
Hence E(x) = [tex]\Sigma x*p\\= \frac{1}{3} (4+5+6) =5[/tex]
Y is a random variable which takes values as
Y 1 5
p 5/6 1/6
E(Y) = [tex]\Sigma y*p\\= \frac{1}{6} (1+5) =1[/tex]
the expected value of the sum of the two faces
= 5+1 = 6
