JEE Main 2018MathematicsProbabilityMediumMCQ

JEE Main 2018 — Probability Question with Solution

JEE Main 2018 (15 Apr Shift 2 Online)

Question

A player has a biased coin whose probability of showing heads is and a player has a fair coin. They start playing a game with their own coins and play alternately. The player who throws a head first is a winner. If starts the game, and the probability of winning the game by both the players is equal, then the value of ' ' is

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Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

If the outcome is one of the following: , then wins As subsequent tosses are independent, so the probability that wins is Similarly wins if the outcome is one of the following: Therefore, the probability that wins is Since, the probability of winning the game by both the players is equal then, we have

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About this question

This is a previous-year question from JEE Main 2018, 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.