QUESTION: Premise: "A man in a red coat is with the children on the ski slopes."
Hypothesis: "There are no adults with the skiing children."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: Their can either be a man in a red coat with the children or no adults.
The answer is no.


QUESTION: Premise: "The wall in front of the bed is mirrored."
Hypothesis: "The one walled room outside had a mirror on it."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: The wall in front of the bed is not the same as the walled room outside.
The answer is no.


QUESTION: Premise: "Two children sit on a bench with black shirts."
Hypothesis: "Children are waiting for their parents."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly:
Children sitting on a bench might not be waiting for their parents.
The answer is it is not possible to tell.