, or an ability. eg 1. the parrot may/might not live very long: it's living in a cage instead of in its home jungle, so maybe he'll die, but on the other hand, if it's a very adaptable parrot, maybe it'll survive.
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JTT: and express a a range of certainty.
My grammar book [Alexander :"Longman English Grammar: (rather for BrE)] says certainty/possibility typically decreases in the order, though the order between and can vary depending on the context.
1) You are right.
2) You be right.
3) You be right.
4) You be righ
The parrot [could / could not]
........ live very long.
Likewise, where P is the 'possibility operator', ~ signifies 'not', and x = 'you are right':
You [may / might]
........ be right. P[x]
........ not be right. P[~x]
But:
You [could / could not] P[x] / ~P[x]
........ be right.
Note that with "you might