The following is getting away from the actual rules as of the task but
is perhaps useful nonetheless ...

>From a storage and processing POV, it will be leaner and faster not to
store the dice boxed. The boxing is nice for display purposes though
so that could be made a separate verb.

facerows=: 0 0 0,1 0 0,0 1 0,0 0 1,:1 0 1   NB. row types on faces
facechars=: ' o'                            NB. chars used to draw faces
faces=: 0 2 0,1 0 3,1 2 3,4 0 4,4 2 4,:4 4 4  NB. define faces as rows
dice=: facechars {~ facerows {~ faces       NB. create dice
displayDice=: [: smoutput <"2               NB. display boxed di
throw=: ] {~ [: ? [ $ [: # ]                NB. verb to throw dice
toss=: 2 10 throw ]                         NB. throw 2 dice 10 times
sumThrows=: [: +/ [: ([: +/ ,)"2 'o' = ]    NB. sum each throw
fd=: [: /:~ ({. , #)/.~                     NB. calc frequency distribution

   displayDice dice
+---+---+---+---+---+---+
|   |o  |o  |o o|o o|o o|
| o |   | o |   | o |o o|
|   |  o|  o|o o|o o|o o|
+---+---+---+---+---+---+
   displayDice Toss1=: toss dice
+---+---+---+---+---+---+---+---+---+---+
|o  |o  |o o|o  |   |o o|   |o  |o o|o  |
| o | o |o o| o | o |   | o | o |   | o |
|  o|  o|o o|  o|   |o o|   |  o|o o|  o|
+---+---+---+---+---+---+---+---+---+---+
|o  |   |o  |   |o o|   |o o|o  |o o|o o|
|   | o | o | o |   | o |   | o |o o|   |
|  o|   |  o|   |o o|   |o o|  o|o o|o o|
+---+---+---+---+---+---+---+---+---+---+
   sumThrows Toss1
5 4 9 4 5 5 5 6 10 7
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