ProbabilityHard
Question
If two subsets A and B of set S containing n elements are selected at random, then the probability that A ∩ B = φ and A ∪ B = S is
Options
A.1/2
B.1/2n
C.
D.
Solution
There are 4 possible cases for an elements
(i) neither present in A nor in B
(ii) present both in A and B
(iii) present in A and absent in B
(iv) present in B and absent in A
Case (iii) and (iv) are favorable =
(i) neither present in A nor in B
(ii) present both in A and B
(iii) present in A and absent in B
(iv) present in B and absent in A
Case (iii) and (iv) are favorable =
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