The sample space is (6,1),(6,2),(6,3),(6,4),(6,5)(2,6),(1,6),(3,6)(4,6),(5,6),(6,6). The Favorable outcome is (6,1),(6,2),(2,6) and(1,6). The probability is 4/11=4/11
The detailed steps and application of differential equation, the use of integrating factor to generate the solution and to solve for the initial value problem is as shown in the attached file.