Explanation:

Let’s break it down:

The main question:

What’s the probability the hotel is on road 5, assuming it’s definitely on one of these 6 roads?

Statement I:

- Roads 1, 2, 3, 4 form a square; roads 5 and 6 are diagonals.

- This tells us about the *layout*, not about road *lengths*.

- But probability depends on length, so layout alone doesn’t help.

Statement II:

- Probability for each road is proportional to its length.

- Still, with no actual lengths, we can’t figure out the answer—proportional to what? The actual numbers matter.

Both statements together:

- With both, you know the roads' arrangements and that diagonals are typically longer than sides of the square.

- But unless you know the *length* of the square’s sides, you can’t get the exact lengths of the diagonals.

- Without actual numbers for lengths, you can’t get the actual probability.

So, the options:

1. One statement alone is enough—but neither is.

2. Either statement alone is enough—nope.

3. Both statements together allow you to answer—not really, not without the numerical value of the side.

4. Even together, you’re stuck.

Correct answer: Option:4, 4.

Option 4 is the right choice. We need blood-and-guts numbers for the side or diagonal; “proportional to length” and “they form a square” just isn’t enough.