We can't play badminton this afternoon because of the bad weather. Why not play handball?

Question: We can't play badminton because of the bad weather this afternoon.

Then why can't we play handball?

But at the end of the sentence, it means: but, just don't. .

Yet is used at the end of the sentence to indicate: not yet, before is before, still is, the meaning of the sentence does not match, use instead.