JEE Main 2016MathematicsProbabilityHardMCQ

JEE Main 2016 — Probability Question with Solution

JEE Main 2016 (10 Apr Online)

Question

An experiment succeeds twice as often as it fails. The probability of at least 5  successes in the six trials of this experiment is

Choose an option

Show full solutionCorrect option: D
Correct answer
D256729

Step-by-step explanation

Let p be the probability of successes and q be the probability of failure.

p=2q and p+q=1

gives p=23 and q=13

For having at least 5 successes in 6 trials,

Required probability=C5623513+C66236

=C1623513+C06236

=6.25+6436=256729

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About this question

This is a previous-year question from JEE Main 2016, 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.