Question 1193761
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Oh crap! the other tutor did it for you. 
Too bad!</font></b>
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Here are all possible ways the tetrahedral dice can be thrown.

(1,1) (1,2) (1,3) (1,4)
 
(2,1) (2,2) (2,3) (2,4) 
 
(3,1) (3,2) (3,3) (3,4) 
 
(4,1) (4,2) (4,3) (4,4)

How many is that?

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Here are all the ways the tetrahedral dice can fall.
The ones with sum 5 are in red:

(1,1) (1,2) (1,3) <font color="red"><b>(1,4)</b></font> 
 
(2,1) (2,2) <font color="red"><b>(2,3)</b></font> (2,4) 
 
(3,1) <font color="red"><b>(3,2)</b></font> (3,3) (3,4)  
 
<font color="red"><b>(4,1)</b></font> (4,2) (4,3) (4,4) 

That's how many out of how many? Make a fraction, and reduce it. 

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Here are all the ways the tetrahedral dice can fall.
The ones with a difference of 2 are in red:

(1,1) (1,2) <font color="red"><b>(1,3)</b></font> (1,4)
 
(2,1) (2,2) (2,3) <font color="red"><b>(2,4)</b></font> 
 
<font color="red"><b>(3,1)</b></font> (3,2) (3,3) (3,4) 
 
(4,1) <font color="red"><b>(4,2)</b></font> (4,3) (4,4) 

That's how many out of how many? Make a fraction and reduce it

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Here are all the ways the tetrahedral dice can fall.
The ones with product 4 are in red:

(1,1) (1,2) (1,3) <font color="red"><b>(1,4)</b></font>
 
(2,1) <font color="red"><b>(2,2)</b></font> (2,3) (2,4) 
 
(3,1) (3,2) (3,3) (3,4) 
 
<font color="red"><b>(4,1)</b></font> (4,2) (4,3) (4,4)

That's how many out of how many? Make a fraction, and reduce it if possible.

Edwin</pre></font>