JEE Advance - Mathematics (1992 - No. 1)

A lot contains $$50$$ defective and $$50$$ non defective bulbs. Two bulbs are drawn at random, one at a time, with replacement. The events $$A, B, C$$ are defined as
$$A=$$ (the first bulbs is defective)
$$B=$$ (the second bulbs is non-defective)
$$C=$$ (the two bulbs are both defective or both non defective)
Determine whether
(i) $$\,\,\,\,\,$$ $$A, B, C$$ are pairwise independent
(ii)$$\,\,\,\,\,$$ $$A, B, C$$ are independent
A, B, C are pairwise independent but A, B, C are dependent
A, B, C are pairwise dependent and A, B, C are independent
A, B, C are pairwise independent and A, B, C are independent
A, B, C are pairwise dependent and A, B, C are dependent
None of the above

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