How is the question of the colour of your shirt of any relevance to the question of belief of "eating W"?

It's not relevant.

To your question the answer is "I don't know", while the answer to do you believe I ate or do you believe I didn't eat has a definite answer; while to your question there are more than two options, it's not binary, either 0 or 1.

There's no room for comparison between the two questions.

Then may ask the following question.
You don't believe I ate W and you don't believe I didn't eat W, then what do you believe: did I eat or didn't I?
We have ~Bp & ~B~p, the question is do we have BpvB~p?
How can someone believe something and also believe its negation at the same time?
What is the semantics of 'belief'?

Can someone both believe in God and believe there's no God?
Besides me of course.... :=)

Poor comedian...

I don't understand why did we let women to vote, but then again you may call me crazy.

But where does the line between what is likely and what is unlikely lie?

Is every probability between 0 and 1/2 excluding the endpoints is "unlikely" and the complement is "likely".

Or do you have some other subjective criteria?

Well, 0/1 are dual to each other as always with negation; and so 2/3 are dual to each other with negation.

Now for the conjunction,disjunction truth tables:
A| B | A^B
1 1 1
0 1 0
0 0 0
1 2 2
1 3 3
0 2 0
0 3 0
2 2 2
3 3 3
3 2 3

Where you can take '2' as 'likely' and '3' as unlikely.

As you can see you can expand on any 2n-logic which is really based on binary logic.

The difficulty arises with odd valued logics.

Couldn't "unlikely" be another truth value in a 4th-valued logic in a logic with truth values: 0,1,2,3; where 0/1 are the usual true/false and 2/3 as unlikely/likely.

Eternity is longer than 1000 years... just saying you know.

No more theories!

I am listening to Scale the Summit all of their albums and Sithu Aye's albums.

I think you need to try your luck with many valued logics, since "unlikely" has no true/false interpretation.