What is the probability of choosing 2 same letters from the word Mississippi?

Question

There’s a big debate on whether the answer is 1/3 or 13/55.

Answer 1

The probability of 2 i's is (4/11)*(3/10) = 6/55

Likewise the probability of 2 s's is 6/55

And the probability of 2 p's is (2/11)*(1/10) = 1/55

Therefore, the probability you seek is 13/55