Q: Premise: "A focused young girl performs her routine on the balance beam."
Hypothesis: "A girl in the olympics doing gymnastics."
Do we know that the hypothesis entailed by the premise?
A: The girl might not be in the Olympics nor be doing gymnastics.
The answer is it is not possible to tell.

QUESTION: Given the sentence "A man in a hat is posing for a photo with a white donkey pulling a wagon." is it true that "A man in a hat is riding a donkey to mexico."?

Let's solve it slowly: The man is either posing for a photo or riding a donkey.
The answer is no.

[QUESTION] Premise: "Two people are hiking on a rocky trail through the mountains."
Hypothesis: "While enjoying a trail through the mountains two friends come upon a rocky trail and call for help."
Do we know that the hypothesis entailed by the premise?
They might not be enjoying the trail. They could be strangers. No indication they need help.
The answer is it is not possible to tell.

Q: Given the sentence "A little boy climbs a tire structure on a playground." is it true that "A person playing in a ground."?
A: The person playing in a ground may not be a little boy.
The answer is it is not possible to tell.

QUESTION: Premise: "Two adults and two children pose on a pile of rocks."
Hypothesis: "The children are posing."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: The children are posing gives less details than the first sentence.
The answer is yes.

QUESTION: Premise: "An elderly man cuts lumber outdoors."
Hypothesis: "The elderly man knows how to cut lumber."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly:
A man who cuts lumber implies he knows how to cut lumber.
The answer is yes.