JEE Main 2026 — Probability Question with Solution
JEE Main 2026 (06 April Shift 1)
Question
A bag contains coins fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is , then is equal to:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let be the event of selecting a fair coin and be the event of selecting the two-headed coin.
Let be the event of getting a Head.
Using the theorem of total probability:
Given :
Answer:
Let be the event of getting a Head.
Using the theorem of total probability:
Given :
Answer:
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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.