JEE Main 2026 — Probability Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
Let S be a set of 5 elements and denote the power set of S. Let E be an event of choosing an ordered pair () from the set such that . If the probability of the event is , where , then is equal to
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Show full solutionCorrect answer: 15
Correct answer
15
Step-by-step explanation
has 5 elements, so has subsets.
Total ordered pairs from is
For pairs with : each of the 5 elements has 3 choices - in only, in only, or in neither
Number of favorable outcomes =
Probability
With and , we get
Total ordered pairs from is
For pairs with : each of the 5 elements has 3 choices - in only, in only, or in neither
Number of favorable outcomes =
Probability
With and , we get
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This is a previous-year question from JEE Main 2026, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.