The word “mississippi” consists of m(1), i(4), s(4), p(2)

the numbers in bracket are cardinality

So total permutations = 11!/(4!*4!*2!) = 34650

If 4s appear consecutively ie appear together, then 4s can be denoted by a character say X.

So we've now 8 characters i.e m(1), i(4), X(1), p(2)

Again total permutations = 8!/(4!*2!) = 840

So favourable cases are 840

hence probability = 840/34650 = 4/165

Hence, option 1 is the correct answer.