Q: Premise: "A smiling woman and a child sitting down and having dinner."
Hypothesis: "A mom and child are enjoying dinner at a fancy restaurant."
Do we know that the hypothesis entailed by the premise?
A: A woman and child are having dinner but that doesn't mean the woman is a mom. The woman and child aren't necessarily enjoying dinner and they aren't necessarily at a fancy restaurant.
The answer is it is not possible to tell.

QUESTION: Premise: "A man donning an orange helmet is climbing up a white glacier."
Hypothesis: "A man is using a harness and carabiners to climb a glacier."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: There are other ways to climb a glacier other than using a harness and carabiners.
The answer is it is not possible to tell.

[QUESTION] Premise: "Roller derby girl skating with intensity."
Hypothesis: "A girl skates to catch up the her opponent."
Is the hypothesis entailed by the premise?
Options:
- yes
- it is not possible to tell
- no
Roller derby girl skating with intensity does not indicate that a girl skates to catch up the her opponent.
The answer is it is not possible to tell.

Q: Can we conclude from "Two men looking on a map to find the best rock climbing place." that "Men burning their map."?
Options:
- yes
- no
- it is not possible to tell
A: Ones can be either looking on a map or burning it.
The answer is no.

QUESTION: If "Man and woman sitting with yarn and knitting needles." does that mean that "The man and woman are knitting."?
Options:
- yes
- it is not possible to tell
- no

Let's solve it slowly: If a man and woman were sitting with yarn and knitting needles it is likely that they would use them for knitting.
The answer is yes.

QUESTION: Can we conclude from "Both are looking at the map to find out the direction." that "Both are looking at the sun to find out the direction."?
Options:
- yes
- no
- it is not possible to tell

Let's solve it slowly:
People cannot be looking at both sun and map at same time.
The answer is no.