You have two dice: one has 2 threes, 2 fours, and 2 sixes, and the other has 5 ones and 1 five. you roll both dice. what is the expected value of the sum of the two faces?

a) 4.5

b) 3.8

c) 5

d) 6

e) 4

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) =

Y is a random variable which takes values as

Y   1     5

p   5/6  1/6

E(Y) =

the expected value of the sum of the two faces

= 5+1 = 6

step-by-step explanation:

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