Only I1 is example of Modus Tollen. I2 does not look like Modus Tollen. Pooja Palod mam. please confirm.
Let us assume p=It rains, the q=cricket match will not be played.
I1: If it rains then the cricket match will not be played (p->q)
The cricket match was played. (~q)
Inference: There was no rain.(~p)
~p (Modus tollens )
Thus I1 is a correct inference.
I2: can be written as
Given inference - ~q
Not a correct inference. When p is false and q is true, both the premises becomes true but conclusion becomes false.
Hence answer is B
I2 is a famous Fallacy.
This type of incorrect reasoning is known as Fallacy of denying the hypothesis.
Another one is -
It is known as Fallacy of affirming the conclusion.
B) I1 is correct but I2 is not a correct inference.