If you roll two dices, what is your probability not get 2 on both dice ？

10/12 or 5/6

Step-by-step explanation:

So assuming each dice has 6 sides

6+6=12

12-2=10

10/12 or 5/6

possible outcomes =1,1,2,2,3,3,4,4,5,5,6,6

probability that you don't get 2 on both dice is

10/12

=5/2

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

9x