JEE Main 2015 Mathematics question
Let X be a set containing 10 elements and be its power set. If A and B are picked up at random from , with replacement, then the probability that A and B have equal number of elements is:
Answer: (2)
Solution
The power set has members, so choosing the ordered pair independently gives equally likely outcomes — the denominator. For the favourable count, suppose both sets have exactly elements: there are choices for and
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