probability

gorbag

I have been asked an interesting problem and have a few pints riding on the answer but not my field can anyone help.
question :-
if a box of eggs containing 1000 eggs is sampled at random by selecting one egg twelve times and another box of eggs containing 3000 eggs is sampled at random by selecting one egg twelve times and both boxes have 30 and 90 bad eggs respectively what is the probability of
a: a bad egg being found
b: no bad eggs being found
in each case

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