Why do you think poet says the birds were without a nest on Earth

The poet when speaks of birds without a nest on the earth means they have no fixed place on this earth to live. Paradise is a word which refers to heaven; a better place than earth to live in. ... They might not need a permanent home here on earth to be bound.

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use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.