Doubt :- probability β $\large \frac{1}{6^{6}}=\frac{6}{6^{7}}$

as from the problem sample space is $\large {6^{7}}$ so favorable cases is $6$ .

But here favorable cases

${1,2,3,4,5,6,6}$

${1,2,3,4,5,6,5}$

${1,2,3,4,5,6,4}$

${1,2,3,4,5,6,3}$

${1,2,3,4,5,6,2}$

${1,2,3,4,5,6,1}$

${2,3,4,5,6,1,1}$

so on

so 6 favorable cases is not correct .

Check the calculation once.

as from the problem sample space is $\large {6^{7}}$ so favorable cases is $6$ .

But here favorable cases

${1,2,3,4,5,6,6}$

${1,2,3,4,5,6,5}$

${1,2,3,4,5,6,4}$

${1,2,3,4,5,6,3}$

${1,2,3,4,5,6,2}$

${1,2,3,4,5,6,1}$

${2,3,4,5,6,1,1}$

so on

so 6 favorable cases is not correct .

Check the calculation once.