Question 1174545
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Hi
One can 'count' the expected value from the Chart below, 
which details the '36' ways of rolling a pair of dice.

Px(2)= P (x=2) = 1/36
Px(3)= P (x=3) = 2/36
Px(8)= P (x=8) = 5/36
Px(9)= P (x=9) = 4/36
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<u>___1__2__3__4__5__6</u>
1|_2__3__4__5__6__7
2|_3__4__5__6__7__8
3|_4__5__6__7__8__9
4|_5__6__7__8__9__10
5|_6__7__8__9__10_11
6|_7__8__9_10__11_12 

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) etc...

Wish You the Best in your Studies.
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